You are a restaurant manager. You must pick 21 entrees for your menu. There are 14 meat offerings and 18 non-meat offerings to choose from.

You are a restaurant manager. You must pick 21 entrees for your menu. There are 14 meat offerings and 18 non-meat offerings to choose from.

(a) In how many ways can 21 entrees be randomly selected out of the 32 meat and non-meat offerings?

(b) In how many ways can 21 entrees be chosen, if 9 must be meat and 12 must be non-meat?

(c) If 21 entrees are randomly selected from the 32 offerings, what is the probability that 9 are meat and 12 are non-meat?