A car dealership has 6 red, 14 silver, and 5 black cars on the lot. 10 cars are randomly chosen to be displayed in front of the dealership.

A car dealership has 6 ​red, 14 ​silver, and 5 black cars on the lot. 10 cars are randomly chosen to be displayed in front of the dealership.

​(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 5 cars are red and 5 are black.

Round to six decimal places as​ needed. 

​(c) Find the probability that exactly 6 cars are red.

​Round to five decimal places as​ needed.