Question Help A corporation must appoint a president, chief executive officer (C

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Question Help 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 four different members. There are 12 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? There aredifferent ways to appoint the officers. b. How many different ways can the committee be appointed? There are different ways to appoint the committee. c. What is the probability of randomly selecting the committee members and getting the four youngest of the qualified candidates? P(getting the four youngest of the qualified candidates) (Type an integer or a simplified fraction.) Enter your answer in each of the answer boxes.

Explanation / Answer

(a) Since the officer must be different, the number of ways = 12C1 * 11C1 * 10C1 * 9C1 = 12*11*10*9 = 11880 ways

(b) Choosing a planning committe of 4 members, where the officers can also be selected = 12C4 = 495 ways

(c) Number of favourable outcomes = 1 (since 4 youngest are chosen)

Total outcomes = 12C4 = 495

Therefore the required probability = 1/495

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