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

four

different members. There are

11

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

enter your response here

different ways to appoint the officers.

b. How many different ways can the committee be appointed?

There are

enter your response here

different ways to appoint the committee.

c. What is the probability of randomly selecting the committee members and getting the

four

youngest of the qualified candidates?

P(getting the

four

youngest of the qualified

candidates)=enter your response here

(Type an integer or a simplified fraction.)