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 17 qualified candidates, and officers can also serve on the committee. Complete parts (a) through (c) below.

a. How many different ways can the officers beappointed?

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?

P(getting the three youngest of the qualified candidates)=________
(Type an integer or a simplified fraction.)