A corporation must appoint a president, chief executive officer(CEO), chief operating officer (COO), and chief financial officer (CFO). It must also appoint a planning committee with three different members. There are 16 qualified candidates, and officers can also serve on the committee. Complete parts (a) through (c) below.

a.) How many different ways can the officers be appointed? There are ___________ different ways to appoint the officers.

b.) How many different ways can the committee be appointed? There are __________ different ways to appoint the committee.

c.) What is the probability of randomly selecting the committee members and getting the three youngest of the qualified candidates?