You are a restaurant manager. You must pick 13 entrees for your menu. There are 11 meat offerings and 7 poultry offerings to choose from.
(a) In how many ways can 13 entrees be randomly selected out of the 18 meat and poultry offerings? Show work.
(b) In how many ways can 13 entrees be chosen, if 8 must be meat and 5 must be poultry? Show work.
(c) If 13 entrees are randomly selected from the 18 offerings, what is the probability that 8 are meat and 5 are poultry? Round answer to nearest ten-thousandth (4 places after decimal). Show work.