A car dealership has 7 red, 14silver, and 5 black cars on the lot. Ten cars are randomly chosen to be displayed in front of the dealership. Complete parts (a) through (c) below.

a) Find the probability that 4 cars are red and the rest are silver. (Round to four decimal places as needed.) (b) Find the probability that 55 cars are red and 55 are black.(Round to six decimal places as needed.)

(c) Find the probability that exactly 77 cars are red.(Round to five decimal places as needed.)