In how many ways can a voter rank five candidates, without allowing ties?

Name: In how many ways can a voter rank five candidates, without allowing ties?
Brand: Quizplus
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Question

Quizplus · Accepted Answer

The first candidate can be ranked in 5 ways, the second candidate in 4 ways (since one candidate has already been ranked first), the third in 3 ways, the fourth in 2 ways, and the last candidate in 1 way. Therefore, the total number of ways to rank the candidates is 5 x 4 x 3 x 2 x 1 = 120.

In How Many Ways Can a Voter Rank Five Candidates