Using the combination formula, it is found that 20 different arrangements of the display are possible.
The order in which the paintings are displayed is not important, hence, the combination formula is used to solve this question.
Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 3 paintings are chosen from a set of 6, hence:
[tex]C_{6,3} = \frac{6!}{3!3!} = 20[/tex]
20 different arrangements of the display are possible.
A similar problem is given at https://brainly.com/question/24437717
