Problem:
Henry's Hamburger Heaven o ers its hamburgers with the following condiments: ketchup, mustard, mayonnaise, tomato, lettuce, pickles, cheese, and onions. A customer can choose one, two, or three meat patties, and any collection of condiments. How many di erent kinds of hamburgers can be ordered?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
A customer makes one of two choices for each condiment, to include it or not to include it. The choices are made independently, so there are possible combinations of condiments. For each of those combinations there are three choices regarding the number of meat patties, so there are altogether different kinds of hamburger.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions