fatimalandau4799 fatimalandau4799

22-04-2018
Mathematics

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In a race in which six automobiles are entered, how many ways can the first 4 finishers come in?

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konrad509 konrad509

12-08-2018

The order matters.

[tex]k [/tex] objects can be chosen out of [tex] n [/tex] objects, when the order matters, in [tex] P(n,k)=\dfrac{n!}{(n-k)!} [/tex] ways.

So the answer is [tex] P(6,4)=\dfrac{6!}{2!}=3\cdot4\cdot5\cdot6=360 [/tex] ways.

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