Felipe has been given a list of 4 bands and asked to place a vote. His vote must have the names of his favorite, second favorite, and third favorite bands from the list. How many different votes are possible?

Question

Renee Bryant

Mathematics

12 October, 08:40

Felipe has been given a list of 4 bands and asked to place a vote. His vote must have the names of his favorite, second favorite, and third favorite bands from the list. How many different votes are possible?

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Answers (1)

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Marlene Allison · Answer 1

Filipe can choose his favorite from 4 bands, so he has 4 ways to determine the favorite.

Then only 3 bands left and he can choose his second favorite in 3 ways. After selecting second favorite, only 2 bands left and there are 2 ways to select the third favorite.

Use the product rule to count all possible votes:

4·3·2=24 ways.

Answer: 24.