Keiko has been given a list of 5 bands and asked to place a vote. Her vote must have the names of her favorite, second favorite, and third favorite bands from the list. How many different votes are possible?

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Mathematics

9 April, 23:30

Keiko has been given a list of 5 bands and asked to place a vote. Her vote must have the names of her favorite, second favorite, and third favorite bands from the list. How many different votes are possible?

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Janet Blair · Answer 1

Keiko has 5 options to choose from for her favorite band. For each of those 5, she can choose from the remaining 4 for her second favorite, and for each of those 4, she can choose from the remaining 3 for her third favorite. Altogether, this gives her 5 x 4 x 3 = 60 different votes that she could potentially make.