A corporation must appoint a president, chief executive officer (CEO), chief ope

Question

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 threethree different members. There are 1515 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 are nothing different ways to appoint the officers. b. How many different ways can the committee be appointed? There are nothing different ways to appoint the committee. c. What is the probability of randomly selecting the committee members and getting the threethree youngest of the qualified candidates? P(getting the threethree youngest of the qualified candidates)equals= nothing (Type an integer or a simplified fraction.) Enter your answer in each of the answer boxes.

Explanation / Answer

Solution

(a) Number of qualified candidate for committee = 15

Officer posts = 4

Officer can be appointed in 15P4 ways i.e. = (15!)/(11!) = 32760 ways

(b) There are 15 qualified candidates are available to appoint.

Number of ways 3 members selected from a qualified candidates is 15C3 = (15!)/(3!)(12!) = 455 ways

(c) P(3 youngest) = 1/455 ways

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