4. The Atlanta Metropolitan Corporation must appoint a president, chief executiv

Question

4. The Atlanta Metropolitan Corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO). It must also appoint a Planning Commitee with four different memebers. There are 15 qualified canidates, and officers can also serve on the committee.
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 Planning Committee members and getting the 4 youngest of the qualified candidates?

Explanation / Answer

a. Number of different ways can the 4 officers be appointed = 15C4 * 4! = 32760

b. Number of different ways can the 4 member committee be appointed = 15C4 = 1365

c. Number of ways of getting the 4 youngest of the qualified candidates = 1

The probability of randomly selecting the Planning Committee members and getting the 4 youngest of the qualified candidates = 1 / 15C4 = 0.000733

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