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

A corporation must appoint a president, chief executive officer (CEO), chief financial officer (CFO) and chief operating officer (COO). It must also appoint a planning committee with four different members. These are 9 qualified candidates, and officers can also serve on the committee.

(i) How many different ways can the officers be appointed?

(ii) How many different ways can the committee be appointed?

(iii) What is the probability of randomly selecting the committee members and

getting the five youngest of the qualified candidates?

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