MathDB
Problem: 2004 AMC 10 #12

Source:

February 1, 2007

Problem Statement

Henry's Hamburger Heaven orders 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 different kinds of hamburgers can be ordered? <spanclass=latexbold>(A)</span> 24<spanclass=latexbold>(B)</span> 256<spanclass=latexbold>(C)</span> 768<spanclass=latexbold>(D)</span> 40, ⁣320<spanclass=latexbold>(E)</span> 120, ⁣960 <span class='latex-bold'>(A)</span>\ 24 \qquad <span class='latex-bold'>(B)</span>\ 256\qquad <span class='latex-bold'>(C)</span>\ 768\qquad <span class='latex-bold'>(D)</span>\ 40,\!320\qquad <span class='latex-bold'>(E)</span>\ 120,\!960