A club consists of 15 people including Ali, Kendra, Ted, Alice, Marie, Dan, Linda, and Frank. From the 15 members, a president, vice president, and treasurer will be selected at random. An advisory committee of 5 other individuals will also be selected at random.

(a) Determine the probability that Ali is selected president, Kendra is selected vice president, Ted is selected treasurer, and the other 5 individuals named above form the advisory committee.

(b) Determine the probability that 3 of the 8 individuals named are selected for the three officers’ positions and the other 5 are selected for the advisory board.