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 .

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.1: Sets
Problem 87E
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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 .

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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