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William Smith is choosing artisan bonsai trees. She has 15 different variants of bonsai trees and would like
to use 7 of them. How many different selections of the 7 bonsai trees are possible?

Respuesta :

facundo3141592

There are 6,435 different selections of 7 bonsais.

How many different selections of the 7 bonsai trees are possible?

If we have a set of N elements, the number of different combinations of K elements is given by:

C(N, K) = N!/( (N - K)!*K!)

In this case, we know that she has 15 different variants of bonsai and she wants to use 7, then:

N = 15

K = 7

C(15, 7) = 15!/( (15 - 7)!*7!) = 15!/( 8!*7!) = (15*14*13*12*11*10*9)/(7*6*5*4*3*2*1) =  6,435

There are 6,435 different selections of 7 bonsais.

If you want to learn more about combinations:

https://brainly.com/question/11732255

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