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

Question

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 three different members. There are 17 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 different 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 P(getting the three youngest of the qualified candidates)- probability of randomly selecting the committee members and getting the three youngest of the qualified candidates? (Type an integer or a simplified fraction.) Enter your answer in each of the answer boxes

Explanation / Answer

(a)

The total number of qualified candidates is 17
By the permutation rule the number of ways of choosing 3 officiers out of 17 is
17P4=17!/(17-3)!
         =4080
therefore there are 4080 different ways to appoint the officers

(b)

    17C4=2380

   therefore there are 2380 different ways to appoint the committee

(c)

P(getting the 3 youngest of the qualified candidates)=1/2380

                                                                           

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