Question

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?

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.