2004 AMC 10A Problems/Problem 12
Revision as of 12:10, 5 November 2006 by Xantos C. Guin (talk | contribs) (added category; fixed typo in answer choice)
Problem
Henry's Hamburger Heaven offers its hamburgers with the following condiments: ketchup, mustard, mayonnaise, tomato, lettuce, pickles, cheese, and onions. A costomer can choose one, two, or three meat patties, and any collection of condiments. How many different kinds of hamburgers can be ordered?
Solution
A costomer can either order a condiment, or not, and there are 8 condiments. Therefore, there are ways to order the condiments.
There are also 3 choices for the meat, making a total of possible hamburgers
.