Question

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 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?

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.)

Answer 1

Note: If order matters, Use permutation formula If an order doesn't matter, Use combination formula

In the current scenario, the order does matter, Use permutation.

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In the current scenario, the order doesn't matter, Use combination.

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