Showing posts with label math. Show all posts
Showing posts with label math. Show all posts

Wednesday, February 16, 2011

84 different Burger Combinations Available!

Ever wondered what it would take to make say 80 different burgers? or 39 different ice cream flavours?Well in reality it doesn't take much, not having a any good taste helps. Furthermore it doesn't actually take that many toppings.
Lots of Burgers
What we're looking at is a simple combination formula. Each ingredient can be combined with a certain number of ingredients to make a burger with say 4 toppings.
Where n is the number of available toppings, and r is the number of toppings on the burger. We can further simplify this to encompass all possible combinations, or all possible burgers. Since each topping can be either on or off the burger each topping takes one of two options. Multiple that by the two options of the next topping and you get
So a typical burger joint that offers tomatoes, lettuce, pickles, mustard, relish, mayo, ketchup, onions, cheese and bacon can make an astounding 1024 different burgers. The math is really that simple.


Ok so let's be fair, those are really condiments, and not really different burgers. However to be able to claim 80 different burgers we would only need 7 different fixings.
Similarly Baskin Robbins doesn't need much to claim 39 different flavours. Just Vanilla ice cream and some walnuts, chocolate chips, pecans, caramel and marshmallows makes 32 different flavours. So what we really need to do is measure the available ingredients to properly compare.

This ice cream shop I visited in Nice, France had everything from tomato, to bread, to rose ice cream. Just flavours nothing added, now that's impressive.

Monday, January 24, 2011

The Black Sheep





An Mechanical Engineer, a Physicist and a Mathematician are on a train going to a conference in Scotland . As they come out of a tunnel just entering Scotland the Engineer spots a sheep on a hill. 

"hey look guys a Black sheep, I guess all sheep in Scotland are Black." says the Engineer

"No silly, just that one sheep is Black in Scotland," Says the Physicist. 

"You're both wrong, always generalizing," says the Mathematician. "We only know there is one side of one sheep in Scotland that is black."