Question
Six sprinters have qualified for the finals in the 100-meter dash at the NCAA national track meet. In how many ways can the sprinters come in first, second, and third?
(Let's assume there are no tires).
(Let's assume there are no tires).
Answers
6 sprinters 3 at a time but ORDER matters
so we are talking permutations not combinations
n!/(n-r)! = 6!/3! = 6*5*4 = 120
so we are talking permutations not combinations
n!/(n-r)! = 6!/3! = 6*5*4 = 120
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