Probability

Question

Jina 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?

Answer 1

Order matters in this case, so the answer is P(5, 3) = 60.

Another way to calculate this is 5 choices for favorite. Once this is done, 4 choices for second favorite, and then 3 choices for third favorite. So there are 5(4)3 = 60 choices.