Question

An art gallery curator wants to select four paintings

Answer 1

255 different groups of 4 paints can be selected out of the 20 paintings.

How many groups of four paintings can be chosen?

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

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

In this case we have a total of 20 paintings, and the curator wants to select 4, then we have:

N = 20

K = 4

The number of different combinations of 4 paintings is given by

C(20, 4) = 20!/(4!*16!) = (20*19*18*17)/(4*3*2*1) = 255

This means that 255 different groups of 4 paints can be selected out of the 20 paintings.

If you want to learn more about combinations:

brainly.com/question/11732255

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