There are 5 swimmers in a race. There will be a first-place, a second-place, and a third-place prize awarded.

In how many different ways can the 3 prizes be awarded?

There are 60 different ways to award three prizes among five swimmers, determined by the permutation formula P(5, 3). ;

Answered by SloanGarrett45 | 2024-06-19

There are 60 different ways to award three prizes among five swimmers using permutations, as determined by the formula P ( 5 , 3 ) = ( 5 − 3 )! 5 ! ​ . We calculated this step-by-step and confirmed the result. The key is that the order of the prize matters.
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Answered by SloanGarrett45 | 2024-11-05