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A medical supply company must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO). It must also appoint

A medical supply company 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 15 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?

(Simplify your answer.)

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

(Simplify your answer.)

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

five youngest of the qualified candidates?

(use an integer or a simplified fraction.)

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