1. Henry\'s Hamburger Heaven offers its hamburgers with thefollowing condiments:

Question

1. Henry's Hamburger Heaven offers its hamburgers with thefollowing 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? A)24    B)256      C)768    D)40,320        E)120,960 1. Henry's Hamburger Heaven offers its hamburgers with thefollowing 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? A)24    B)256      C)768    D)40,320        E)120,960

Explanation / Answer

There are 8 different condiments. so we know the allcombinations of condiments are 8! (8*7*6*5*4*3*2*1). This leaves40,320 possible combinations of condiments. A customer can choseeither 1, 2 or 3 patties. That means 3 choices of meat with 40,320condiment combinations. 3*40,320=120,960 kinds The answer is E)120,960 Hope this helps!

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