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2004 AMC 10A Question 12

AMC10 · 2004 AMC 10A

Question 12

Henry’s Hamburger Heaven offers 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?
  1. $24$
  2. $256$
  3. $768$
  4. $40{,}320$
  5. $120{,}960$