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In: Statistics and Probability

A corporation must appoint a​ president, chief executive officer​ (CEO), chief operating officer​ (COO), and chief...

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?

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

c. What is the probability of randomly selecting the committee members and getting the three youngest of the qualified​ candidates?

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