Question

Suppose we want to choose 7 colors, without replacement, from 12 distinct colors?

Answer 1

792 different sets of 7 colors can be chosen.

In how many ways can be the 7 colors selected?

Remember that if we have a set of N elements, the number of different sets of K elements that we can make out of these N elements is given by:

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

In this case, we have 12 distinct colors and we want to select 7, so we have:

N = 12

K = 7

Replacing that we get:

C(12, 7) = 12!/(12 - 7)!*7! = 12*11*10*9*8/(5*4*3*2*1) = 792

792 different sets of 7 colors can be chosen.

If you want to learn more about combinations:

https://brainly.com/question/4658834

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