a corporation must appoint 15 qualified candidates give younget Homework: Chapte

Question

a corporation must appoint 15 qualified candidates give younget Homework: Chapter 4 Homework Score: 0 of 2 pts 4.6.21 23 of 25 (11 complete HW Score: 31 Qu A corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO), It must also app committee with five different members. There are 15 qualified candidates, and officers can also serve on the commitee. Complete parts (a) through ow many different ways can the officers be appointed? There are 32760 different ways to appoint the officers b. How many different ways can the commitee be appointed? There are 3003 different ways to appoint the committee. c. What is the probability of randomly selecting the commitee members and getting the five youngest of the qualfied candidates P(getting the five youngest of the qualified candidates) - (Type an integer or a simplified fraction )

Explanation / Answer

a) the total number of ways the officers can be appointed is

15p5 = 15!/(15-5)!

= 360,360

b) the number of ways the committee can be appointed is

15c5 = 15!/(15-5)!*5!

= 3003

c) p(getting five youngest of the qualified candidates) = 1/3003

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