There are 11 paintings at an art show. Four of them are chosen randomly to display in the gallery window. The order in which they are chosen does not matter. How many ways are there to choose paintings? A. 7920 B. 330 C.44 D. 121

Answer:B. 330Step-by-step explanation:The question indicates the order doesn't matter, so it's a combination and not a permutation.The combinations are calculated using this formula:[tex]C(n,r) = \frac{n!}{r! (n-r)!}[/tex]In this case we have a population of 11 (n = 11) and a selection of 4 (r=4), so...[tex]C(11,4) = \frac{11!}{4! (11-4)!} = 330[/tex]So, there are 330 different combinations that can be made of 4 paintings out of a selection of 11.