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?

Question

Mathematics

Nylah Glass

11 July, 18:28

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?

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Answers (1)

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Tanya Briggs · Answer 1

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