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From a group of 18 customers 5 are to be chosen to receive a special gift. Assuming that the order is in which the customers are children is irrelevant, how many group of 5 custom it can be chosen?

Respuesta :

konrad509

[tex]k [/tex] objects can be chosen out of [tex] n [/tex] objects, when the order doesn't matter, in [tex] C(n,k)=\dfrac{n!}{k!(n-k)!} [/tex] ways.

So, the answer is [tex] C(18,5)=\dfrac{18!}{5!13!}=\dfrac{14\cdot15\cdot16\cdot17\cdot18}{2\cdot3\cdot4\cdot5}=8,568 [/tex]

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