Question The Graphic Corporation must appoint a president, chiefexecutve officer

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Question The Graphic Corporation must appoint a president, chiefexecutve officer (CEO), Chief operating officer (COO), chief financial officer (CFO), and media relation officer (MRO). It must also appoint a Planning Committee with five different members. There are 12 qualified candidates, and officers can also serve on the committee. (10 points) a) How many different ways can the officers be appointed? Answer: b) How many different ways can the committee be appointed? Answer What is the probability of randomly sclecting the committee members and getting the 5 youngest of the qualified candidates c) Answer:

Explanation / Answer

a. The five officers can be assigned in 12P5 ways.

12P5 = 12! / (12-5)! = 12! / 7! = 12*11*10*9*8 = 95040.

b. The five members of planning committee can be selected in 12C5 ways.

12C5 = 12P5 / 5! = 95040 / 120 = 792.

c. There is only one way to get the 5 youngest of the qualified candidates.

=> Probability of selecting them as committee members = 1 / 792 = 0.0013.

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