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.

Question content area bottom

Part 1

a. How many different ways can the officers be appointed?

There are

enter your response here

different ways to appoint the officers.

Part 2

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

There are

enter your response here

different ways to appoint the committee.

Part 3

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)=enter your response here

(Type an integer or a simplified fraction.)