255 different groups of 4 paints can be selected out of the 20 paintings.
<h3>How many groups of four paintings can be chosen?</h3>
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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