A car dealer has 12 different cars that he would like to display, but he has room

Question:

A car has 12 different cars that he would like to display, but he has room to display only 5.
(a) In how many ways can he pick 5 cars to display?
(b) Suppose 8 of the cars are the same color, with the remaining 4 having distinct colors. If the tells a salesperson to display any 5 cars, what is the probability that all 5 cars will be the same color?
Dealer
A dealer in the securities market is an individual or firm who stands ready and willing to buy a security for its own account (at its bid price) or sell from its own account (at its ask price). A dealer seeks to profit from the spread between the...