Frank 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?

24 different possible votes

Step-by-step explanation:

This is a permutation problem. There's a formula: P (n, r) = n! / (n-r) !

Where P is the number of permutations (combinations), n is the number of objects (4 bands, in this case) r is the number of objects taken at a time (1st fav, 2nd fav and 3rd fav=3)

P (4,3) = 4! / (4-3) !=4!/1! = 24/1 = 24 combinations