 Today, CNN Money's Laurie Segall reports on 4food, a new New York City restaurant that's fueling its customer base with the use of social media. The restaurateurs claim to offer 96 billion burger combos available as orders. Stacy Cowley crunches the numbers. New Manhattan burger joint 4food lets eaters customize their creations with an extensive ingredient menu, and news reports have put the range of options at anywhere from "more than a million" to "140 million" burger combinations. "There can't possibly be 140 million combinations," I said to my statistician spouse. "Let's find out," he said, firing up Excel. 5 buns [breakfast bagel, brioche, multigrain, pressed rice, pumpernickle]: Have to have 1 Using that, we ran two formulas. The first calculated how many choices you'd have if you stuck with "should have" - no more than two cheese slices, three condiments, etc. That gave us this: 5 * (2^4) * (12C3 + 12C2 + 12C1 + 12C0) * (7C2 + 7C1 +7C0) * (2^4) * 18 * 8 = 1,598,238,720 ... which is 1.6 billion combos. But if you take off all sane restraints - want 12 toppings and 7 cheese slices? Sure! - and allow all theoretically possible combos, you get this: 5 * (2^4) * (2^12) * (2^7) * (2^4) * 18 * 8 = 96,639,764,160 ... which results in more than 96 billion combos. Jam that on your leaderboard. Read CNN Money's 4food report |
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At least some bloggers can still write. Thank you for this piece of writing!!!
This post could not be more right on..
Very well executed article..
Where is the BACON ?!?
Where is he bacon ?!?
Hopefully liveobxhwy12 comes back to learn the simple difference between the number of COMBINATIONS that can be chosen/ordered, and the fact that no two burgers will be EXACTLY the same. (I particularly liked TSmoov's knocking off the sesame seed point.)
Heck, using liveobxhwy12's reasoning – or lack thereof – even the hamburger at McDonald's approaches an infinite number of variations. But it has only has 8 or so combinations (w/ and w/o mustard, catsup, pickle, ??). 1*1*2^3. (Note: if you have McD's put cheese on it, it's a different menu item.)
@ liveobxhwy12: You’re too funny. The combinations are defined by the number of ingredients not the manner in which you alter a single ingredient – this is definitional to the chosen manner in which the owner would like to count his burger combinations. Choosing to scratch the cheese, or fold the cheese, or toss a tiny piece of cheese aside, or knocking a sesame seed off a bun, or squeezing the juice out of a pickle, etc; WILL NOT create another defined combination. If a box of crayons has 64 colors then the count of colors is 64. It does not become infinity simple because you can create more colors (I’d be willing to bet, BTW, the coloring in coloring books is more your forte than either mathematics, statistics, or even cuisine). At least be consistent for your fellow humans’ sake and the next time your are personally counted for any purpose please answer “Infinity” rather than “one” since there are an infinite amount of ways in which you can vary your appearance and thereby should be considered and infinite set of humans.
I've been reading most of these posts and have been getting a good laugh at the funny comments. Especially funny is this liveobxhwy12 person. However, the humor with them is that they can't comprehend the situation here. @ liveobxhwy12: This article is simply about having a bit of “fun” by verifying one single stores apparent boasting that, with the ample ingredients that they specifically and generously offer, they can offer a specified and, YES, FINITE amount of combinations of burgers (BTW, regarding another posters suggestion: The store obviously won’t allow infinite slices of cheese in order to get an infinite amount of combinations. Also, an infinite cheese slice count does not itself exist). It is really just one “fun” article about one single “fun” store owner being goofy in the manner in which they chose to communicate “hey we have lots of burger choices”.
At the risk of offending all of you math nerds, I'm going to talk about the burger "shoulds." Should have three condiments? I don't freaking think so, Yankee. Should have two cheeses? I don't think so, Sherman. A cheeseburger should contain no more and no less than: standard bun, thin beef patty(ies), cheddar or American cheese, pickles, lettuce, mustard, and onions. The only optional component is a tomato slice. No ketchup if one is over six years old; no "special sauce", no goat cheese; no guacamole. Anyone who has ever eaten at a Southern mom and pop drive in knows this to be true.
I love lamp
You're all missing the big picture. Bacon is nowhere to be found on their menu. No self respecting burger joint leaves off bacon as a topping. A burger should be hot, fresh and under $5.00. Any place that puts goat cheese on a burger should be boycotted. All you mathletes need to put down your calculators, find a backyard cookout and see what a burger is all about.
Too bad 4Food is just awful. I work within spitting distance from the store and no wants to go there because the food is so bad. Only worse than the food is the service. Who cares if they have 96 billion combinations? All of them suck.
@liveobxhwy12
Given the parameters they start with (which is the whole point) there are only a finite number of combinations. "More" or "less" of something is not distinguished here, but even if it were as you suggest, you would reach a finite number of molecules to be combined, which yields a finite number of permutations. Either way, there are absolutely NOT an infinite number of combinations with the finite and discrete set of choices presented.
Your calculation is in error – the correct number is 96,636,764,160 – looks like a typo on your part
How bout all you nerds stfu about numbers and trig and all that crap.
Eat a burger.
I make the best burgers in the world right in the back on my grill. Mix some ground venison and lean ground beef, salt, pepper, garlic salt.
Lettuce, tomato, catsup, mustard, mayo and sesame seed buns. Or real cheddar cheese, mustard, catsup and mayo.
Some good thick crinkle cut or steak fries. And a big glass of ice cold Southern Sweet Tea. Or a coke.
Nuff said.
what a waste of time who cares
im going to try all of em!
Isn't it wonderful to brag about eating high cholesterol beef all the time instead of the heart unclogging benefits and cancer reversal wonders of Macrobiotic vegetarian foods ! ? FERGUS
I think any high school kid in China could fingure this out in a couple minutes, and the rest of the world is graduating a whole lot more engineers now. I wouldn't be surprised if 6 years from now fancy electronic gadgets in Germany are stamped "Designed by Shanghai Electric, manufactured in USA by the Shenzen maquiladora (US) Ltd."
This doesn’t seem right. There are 5 ways to choose the first ingredient, 4 the second, 12 the third, 7 the 4 the fourth , 4 the fifth, 17 the sixth, and 8 for the seventh. This gives 913,920 unique combinations using just 1 items from each “parameter”.
and I can't type very well....
lol...this is too funny.....lighten up have a laugh and enjoy the weekend. It's just a buger!
lol...this it too funny.....lighten up have a laugh and enjoy the weekend. It's just a buger!
Trig? Somehow all topics always seem to come back to Sarah Palin.
@liveobxhwy12
My goodness you are a bellicose grouchy pants, aren't you?
The article states that the restaurant "...lets eaters customize their creations with an extensive ingredient menu...", and then states what items are on the ingredient menu. The article does not claim that the customers have the option of customizing with options not on the menu, nor customizing how the ingredients are portioned out, nor how the burger is cooked, nor how it is served up, nor how it is eaten, etc.
And you, as an outside observer, unless priviledged with additional information we do not have, cannot assume that the customer has any more leeway than calling out a list of desired ingredients.
Based solely on the facts provided in the article, the options for the customer are both finite and calculable.
So, while you may be correct in your belligerent statements that the possibilities are infinite in the **preparation** of the burger (because of spicy quantity variation, etc), you cannot claim to be correct that there are infinite choices available to the customer.
And that is the topic of the article.
You can't get an infinite number of combinations with a finite number of things to combine. And, in a finite universe, there are a finite number of atoms (or nuclei) and therefore only a finite number of combinations of those atoms. Forget about restricting the combinations to burger-like objects. Forget about restricting the number of combinations only to combinations allowed by physics. Mathematically, the number of all combinations of all the atoms in the observable universe is finite because the observable universe is finite (about 14 billion light years). And, even if you could make a burger that large, many people would want fries with it.
I concur!
And just for the heck of it: do you like plastic or paper bag? Salt / pepper / lemon pepper ? Coke / pepsi / 7up / MDew / Sprite / HiC / orange juice / water ? Regular / diet ? Bottled / draft ? For here / To Go ? Credit card / Cash ? My godness...
I want to go to there...
Hummus on a burger? The very thought makes me heave.
The level of innumeracy here is depressing.
I find it intellectually stimulating. Also, I like tomatoes.
It's like cable or sat tv, 600+ channels and still nothing to watch. Fast food, bleeeeeh... However, it is NYC and that means good rolls, not like Pa where all they make is air bread and rolls.
I find that type of comment kind of funny. If you have 600 channels and can't find anything to watch, you have a very limited variety of interests. Fights, cooking shows, hunting/fishing, sports, shows about sports, porn, comedy, drama, Star Trek, etc........
You forgot Roller Derby and Wrasslin'!
And ESPN "The Ocho"
@RichardHead That is too funny! LMAO!
Pimpin' for Jesus, I'm just sayin...
I guess in all those 600 channels you can't find Family Guy...
I don't care about the math, just gimme my cheezeburger!
I canz haz cheezburger?
solid. I'm backing this comment.
Don't ask me, I'm not the chef.. ;P
wow!!!!!!!!!
combinations is correct ... however as i recall from my burger flipping days at wendy's ...
back in the day, wendy's was very specific about the order of the condiments (ie permutations).
mayo/ketchup on the bun, mustard on the patty. cold lettuce last to keep it away from the warm patty.
something about varying the taste and temperature as you bit into it ... i am serious, it was in the training back then (early 80s')
we did it at Ruby Tuesday's too... some companies do it for presentation reasons, others for the order in which the flavors hit your taste buds, which is why some people eat their burgers upside down.
lmao BIG time at jdizzle....
"anyone that took trig knows this"
um...ok brainiac in your own mind.....explain exactly how trigonometry comes anywhere close to being part of this simple algebraic equation?
you obviously DID NOT DO VERY WELL if you did take trig........stick to the things you do best...you know....the lemming things....you're obviously a much better follower than a leader!
I wish I were as smart as you. <3
Based on some of these comments – apparently I went to the only High School in the country that taught permutations and combinations during the Trig course.
He must be thinking about the fact that a burger is round. That is the only connection to trig.
It is "permutations" because they shouldn't count duplicate selections (unless you want 12 sqirts of mustard to count as one "choice") - "combinations" allows for duplicates . The correct formula for picking 0-3 "selected items" from the 12 condiments(13 items if you count 'none') would be (13*12*11*10) +1 +1+1. The well=known formula for picking 4 unique "selections" (call them 'r') from 12 possible choices is : (n!)/(n-r)! In this case, you add 3 to the total because "none" is the only item out of the 13 that could be 'repeated' one, two, or three times on the burger).
And you thought that semester of Permutations/Combinations was wasted...
You're mixing up the math there. Permutations would apply if the order mattered: is the mustard on top of the ketchup or vice versa? Combinations ignore that, and they are what I used. They do not allow duplication.
I stand corrected, combination without repition. The formula is: n! / ((n-r!)(r!))...
That looks tasty!
I'm making it my life's goal to eat one of each.
Sounds tasty. Send me one.
There are a lot of talented writers out there with a lot more relevant and interesting things to say on your website, CNN. This article is depressing.
There's news and there's entertainment, I think this was meant as entertainment...
amen
The best combination is by far the avocado burger at Chili's right now...amazing
Or the Garbage Burger at Max & Erma's
And people wonder why I hate math...
Wow, Check the math with cooking vs. raw:
15 buns [breakfast bagel, brioche, multigrain, pressed rice, pumpernickle]: Have to have 1, either steamed toasted or uncooked.
6 add-ons [lettuce, NY pickle, tomato, onion]: Can have 0-6 as onions and tomatoes may be steamed or uncooked.
12 condiments [mustard, guacamole, bbq, horseradish, hummus, jerk sauce, tartar sauce, mayonnaise, ketchup, salsa verde, sweet chili, tzatziki]: Can have 0-12, should have 0-3
14 cheeses [blue, goat, fontina, gruyere, manchego, mozzarella, cheddar]: Can have 0-14, should have 0-4.
7 slices [avocado, pancetta, mushroom, sopresatta]: Can have 0-7, cook or uncook mush, pan, sop.
17 scoops [avocado & chili mango, baked beans, grits, hominy, fruit & nut, edamame, egg, mac & cheese, mofo, mushroom & onion, peppers, chorizo & potato hash, brussels sprouts, spinach, veggie chili, veggie sushi, winter slaw]: Can have 0-1
40 patties [beef, breakfast pork, egg, lamb, pork, salmon, turkey, veggie], rare/mr/med/mw/well done:
... Some of these pattys can't really be prepared rare or even medium rare. Pork for instance, or salmon. And I don't even want to think about what a "rare" egg patty would be like. Veggie on the other hand, could technically be totally raw. this one is a little more complicated than that.
Salmon is completely capable of being served rare, or medium rare.
Sashimi. RAW fish is yum. Same for chicken, cow and horse. Trust me. I live in Japan. You can eat anything raw.
how about if i want a toasted bun with a medium burger with an overeasy egg... hey i want my pickles fried too damnitall... etc... the concept of mutually exclusive combinations exists and doesnt exist.. another one for infinites..
THERE IS NO WAY TO ACCOUNT FOR ALL POSSIBLE COMBINATIONS.
You forgot about Cooked vs. Uncooked.
EXAMPLES
Just Three Items = onion, tomato, cheese, both cooked and uncooked.
Patty = rare, medium rare, medium, medium well, well done.
There are many more choices than these...
yet another inadvertant supporter of the theory of infinites.. looks like we're winning
Yeah...... but what does it cost?????
Where is teriyaki??
What if you wanted to make it a 'double' and have multiple patties, mix and match. Is that accounted for?
Nice idea. Let me work on that...
Brussel sprouts but no jalapenos? What kind of burger place is this?!?!
5 guys has jalapenos
They left out swiss, pepperjack, and bacon. How can you have a burger without these?!
Bacon!! How could they forget that?
CAn I get a job writing this crap?
apparently.. my article tomorrow.. the standard deviations of womans' menstral cycles from the lunar cycle.
Are you allowing for low or high tide?
Low tide is the only time you can go clam digging.
I concur. Mind passing the tabasco sauce,she's part Latina?
indifferent... i was going to focus more on avoiding red tides... i have to admit you two do log some hilarious S#!% from time to time... i try to keep ya'll entertained as well.
The the numbers following the letter C should be subscripts as well. Not sure why the author put them as superscripts.
The formulas looked right as written. Mangled in translation :)
This is why I hated math at school. Any answer is wrong.. or someone was ready to say you were wrong.. or just be better than you. There can't seem to be one answer
well my friend.. you just aced the test... there is no right answer
A veggie burger on multigrain with pickles, cheddar, onions, peppers, and mushrooms for me! Great dinner idea tonight...
I usually go bunless as well.
5 Guys Burgers and Fries... best burger, best combinations... its an east coast chain so if you've never been, you are severely missing out!
yes they are and for sure the best fries
We have Five Guys out west now . . . and they are tasty!
5 guys food is good, but who the heck wants to pay 10 bucks for a fast food burger and fries!!!
a lonely sole or a fat bastard... or....if i really had the F'n munchies.. but a small fry and a burger from 5 guys is meant to share between two people... its why they give you so much
Just tried 5 Guys for the first time, great burger. 10-year-old daughter loved the cajun fries!
A burger and fries at 5 guys gives you at least 3 days worth of saturated fat and well over 1500 calories. Everyone kept telling me I had to try them when I moved from DC to Seattle, but I learned that fact before I ever could. Now I refuse. If you factor in the amount of sodium (several days worth) no reasonable person would still eat there, let alone FEED IT TO THEIR CHILDREN. I love burgers, but everything in moderation. There's no moderate at that place.
To DC from Seattle, sorry. And here is the link from their own mouths.
http://www.fiveguys.net/files/files/NutritionalInfo_2009.pdf
regular fries alone are over 600 calories.
What if you want multiple patties, like salmon on turkey, or sausage and egg? Or even just a double decker beef?
Dude, you are seriously blowing my mind!
exactly my reasoning. yes, mine is a theory of infinites, but the fact that all cultural backgrounds have different tastes and preferences only further aids my debate.. they even have mac n cheese as a topping.. that goes to show ANYTHING can go on a burger or constitute a burger. so for all you finite theorizers crap in your left hand, then your right.. throw them together and eat a big S#!& burger. the only finite conclusion from this article is their are infinite combinations
Only if there's an infinite degree of precision in instructing the staff – even if you add rare, medium rare, medium, and so on, that's as specific as any restaurant will let you order a hamburger. Sooner or later you run into granularity. By the way, the degree is a Masters in Science (Mathematical Statistics) from Monash University, Melbourne, Australia. And 16 years as a working statistician in various fields. Not the local community college :) But that's not the issue – we can definitely agree that it's foolish to take someone's word uncritically based on their qualifications, and any argument needs to be tested. Happy to debate the logic over a burger, any time.
Actually the possible combinations are higher, they forgot the "0" in the equation (the option not to add the item). It should be:
5 * (2^5) * (2^13) * (2^8) * (2^5) * 18 * 8 = 1,546,188,226,560
Or approximately 1.5 Trillion combinations.
there are actually infinite numbers of combinations. This article is pointless.. does anybody REALLY care about the math behind the hamburger? Interesting article or just more pointless trash to cover up meteocre journalists' failed attempts to find true news?
No, there are not an infinite number of combinations.
Subway offers even more combinations of choices and is healthier. Good luck you fat fools.
waah waah waah
@Subway Jared.....too bad 'taste' isn't part of the Subway possibilities.
Taste or quality. The only decent sandwiches at Subway are either the chicken bacon ranch, the meat ball, the teryaki (debatable really), and the limited time chicken salad they had a month or so ago. And these are the less healthy choices. Well besides the teriyaki i suppose...
@mathguy.. unless you are God.. you can not prove a finite number of combinations without an exact population. Here we are "GUESSING" at a finite number based off a sample, which means you may hypothesize the finite number on a curve, yielding more and more combinations along the y-axis and coming closer and closer to the finite number but never reaching it. go back to college... statistical analysis is a prerequisite to most accredited business schools. Where the hell are you econ and math majors out there?!!
I whipped out my Abbacus while rockin' out to Abba and must concur that the final equation is within +or- 1/10 th of a Patty!
yeshhh. someone else is getting the idea!
Come on liveobx. You can use all the math you want, but reading comprehension shows that this is at one restaurant and confined to the choices there. So no, salsa, spices, and whatever the hell else don't count as ingredients here. Bam, you have a finite population, and finite combinations.
You can't get an infinite number of combinations with a finite number of things to combine. Suppose you could vary every choice at the molecular level - that is, one "choice" on the burger is to add one molecule of mustard (ignore that mustard is more complicated than a single molecule), another "choice" is to add two molecules of mustard and so on up to an amount of mustard that could be packed into the observable universe (ignore a lot of physics that would reduce the amount of mustard calculated on the basis of geometry and density alone) and could do the same for every other ingredient on ANY list you care to form, however long (ignore the fact that we now have a burger larger than the observable universe) and every other possible ingredient, where possible ingredient means every possible combination of atoms in the observable universe - then you would STILL have a FINITE number of combinations. Moreover, that number of combinations could be calculated and could be expressed in a closed, finite form. If you want to include combinations possible by going outside the observable universe, and then to the other universes that are postulated in the concept of the multiverse, then you might (or might not) get an infinite number of combinations, depending on whether or not there are an infinite number of universes in the multiverse. (But there would be no way to assemble the burger because communication is not possible if we go outside the observable universe - that's what we mean by observable.) The point of this rather tedious and fanciful message is that however large a finite number is, it is NOT infinite.
Of course there are an infinite amount of combinations. For example, while seven cheese are listed, it is arbitrary to limit it to 0 or 1 of each cheese. Two slices of Cheddar anyone? Just taking any one ingredient can be used to prove infinite combinations, for example, it is allowed to have 0 or any number (up to infinity) of portions of Blue Cheese (my favorite). Of course, there are physical limiting factors that can be taken into account depending on how annoying you want to be, for example, the number of slices of cheese that can fit in the restaurant, or prior to getting to infinity, the weight of the earth or the molecules in the universe would be exhausted.
actually, the option to not include any of them is already included. You have four options, each with the possibility of being included or not. This yields 16 possible combinations from none to all. 2^4 = 16
No, the calculation is correct. Look at the "4 add-ons (lettuce, NY pickle, tomato, onion)" for instance. They gave a factor of 2^4; you gave 2^5. Each choice of add-ons for a burger can be represented by a binary string of length 4. For instance, "lettuce and pickle" corresponds to "1100"; "tomato and onion" would be "0011"; all four add-ons together corresponds to "1111", and choosing none of the four add-ons corresponds to "0000", a possibility that they haven't forgotten about. There are 2^4 binary strings of length 4. Their calculation is correct.
you should learn the applications of what you are talking about before you try to drop your "smarty pants" crud on the public. this guy has no idea what he is talking about. Next please
Actually, the math is right. Author's husband is a statistician, he likely knows what he's doing.
For most categories there are 2 possibilities to include each topping (Yes/No), and for each category there is a defined number of toppings. For the "add-ons" there are 4 choices, Yes/No for each. This would be 4^2. Saying "No" to all the toppings is included in this. 96 billion combinations total.
Yes, agreed, that's the simplest/best way to think of it and the guy is right. The way that I looked it was via n!/r!(n-r)! Where n is the number of choices, and r is how many you choose (from 0-4). If you run through r=0..4, you get 1 combination for r=0 (choose none, only one way of doing this), you get 4 combos for r=1, and then 6....4...and back down to 1 for r=4. So all in all 16 combinations. Which is what the guy is explicity doing for the 12 condiments piece.
well ill make sure not to send my kids to the same college the author's husband went if he is a so-called "statistician." you people are only trying to correct the math that is in front of you with the data given. if the data is incorrect from the first place, then the whole equation is illogical. ONCE AGAIN, this is a finite number based on the combination of items listed in the article (a sample).. look beyond the spectrum... account for spices. different types of salsa. the least ingredient change yields thousands of combinations for a single condiment–chipotle mayo, ranchy mayo, mcD's secret sauce.. "oh ho ho, the author's husband is a statistician".. an associate's degree from the local community college i presume.
how many color combinations can you get out of a box of crayola crayons by combining colors.. do not think that simply adding yellow to blue makes on color–green.. take into account hues... F#$% a box... just red, blue, yellow.. three bases that make a combination of infinites... get it now tards.
I've been reading most of these posts and have been getting a good laugh at the funny comments. Especially funny is this liveobxhwy12 person. However, the humor with them is that they can't comprehend the situation here. @ liveobxhwy12: This article is simply about having a bit of “fun” by verifying one single stores apparent boasting that, with the ample ingredients that they specifically and generously offer, they can offer a specified and, YES, FINITE amount of combinations of burgers (BTW, regarding another posters suggestion: The store obviously won’t allow infinite slices of cheese in order to get an infinite amount of combinations. Also, an infinite cheese slice count does not itself exist). It is really just one “fun” article about one single “fun” store owner being goofy in the manner in which they chose to communicate “hey we have lots of burger choices”.
@ liveobxhwy12: You’re just too funny. The combinations are defined by the number of ingredients not the manner in which you alter a single ingredient – this is definitional to the chosen manner in which the owner would like to count his burger combinations. Choosing to scratch the cheese, or fold the cheese, or toss a tiny piece of cheese aside, or knocking a sesame seed off a bun, or squeezing the juice out of a pickle, etc; WILL NOT create another defined combination. If a box of crayons has 64 colors then the count of colors is 64. It does not become infinity simple because you can create more colors (I’d be willing to bet, BTW, the coloring in coloring books is more your forte than either mathematics, statistics, or even cuisine). At least be consistent for your fellow humans’ sake and the next time your are personally counted for any purpose please answer “Infinity” rather than “one” since there are an infinite amount of ways in which you can vary your appearance and thereby should be considered and infinite set of humans.
Aw damn, One Step Too Far, looks like you got pwned!!1!
The Counter out here in CA has: 2^20 (sauces) * 2^29 (toppings) * 2^11 (cheeses) * 5 (holders: buns or bowls) * 12 (burgers) = 2^60 x 60 = (approx.) 60,000,000,000,000,000,000 combinations. Virtually all of them would be inedible, and for all sauces, all toppings and cheeses, about $50. I'm surprised 4food doesn't let you get two patties, that would boost it up quite a bit.
I think you should change your bun estimate from 1 to 0-1. As someone who can't eat bread, I just order a regular burger and add on the condiments on top.
Some places don't understand where to put the condiments if there's no patty, but I think just balancing them on top of the meat patty works out fine.
0-1 for buns... not just because some people can not eat bread but because KFC has proved that throwing two slabs of meat around a bundle of combinations constitutes a sandwhich/burger.. come on people.. think outside the bun
lol.. way to throw in a Taco Bell quote in while pimping KFC. Then again, the two are owned by the same company
ummm yeahhh... exactly where i was going with this... i also used a double negative in my sentence.. but again in the right context.. do you want to try to correct me on that too?
It should be even greater because you could mix bun types if you wanted. Lower bun could be bagel and top bun could be multi grain for example.
That... Would be SOOOO many combos. It may approach 1 trillion... No excel to help with the math though. Someone want to crunch that? I'd be interested...
Anyone that took Trig knows this.
Trig?? This is elementary combinatorial math.
This really doesn't have anything to do with trig whatsoever.... making you doubt that you yourself took trig.
Trig???? What does this have to do with Trig???
When I hear probabilities, it reminds me of when I went through Trig in High School. I got a "B" by the way. Don't care for math.
Trig–>sin,cos,tan,sec,csc,.....any of these bring u memories??
We are talking about permutation & combinations here.
Permutations, that's right. More accurate.
Actually wrong McHammerpants. It's combinations. Permutations deal when order is a factor. The order that you place the toppings on the burger are irrelevant.
Alright. Now I say it: Who gives a f*ck?
Looks to me like something covered when I took general statistics vice trigonometry.
This doesn't have a damn thing to do with trig! More like permutations and combinations.
It is obvious he was trying to slice the Pi....
Unfortunately that is dessert, the article is about the main course.
It don't add up. Be all wrong.
This is what happens when the Teacher Union's primary concern is to have Viagra as a part of their benefits.
Education? What education?
Trig? What, is the patty supposed to be the unit circle or something?
Greg thinks that teachers don't deserve to have Viagra as part of their medical plan. And this is exactly why I'm not a teacher. You bust your butt doing the most important job in our nation, educating our children, you pour your heart and soul into it, you get paid an extremely small salary and the public doesn't even think you have the right to be happy or have a full medical plan.
Teaching is the most important job in America?? I whole heartedly disagree with you. The servicemembers who are willing to sacrifice their lives so that teachers may teach are leaps and bounds above the teachinf profession....
The large majority of teachers come from the bottom 1/3 of their graduating college classes. That is frightening. My children will never set foot in a public school filled with half wits. I have zero respect for the majority of whining teachers.
This has nothing to do with math; anyone who has ever worked in a kitchen knows tjhat you can't possibly fit all those items between the buns. A burger with all the options would have to be served in a large bowl and eaten with a spoon. Sorry, that's not a burger.
When you get this many options it means the place that makes to food isn't confident or competent enough to make something really good. That's why I won't eat at Subway. Even a mediocre local subshop (I live in PA so that makes it possible) already knows how to make a decent sub without the customer having to choose all the ingredients.