chief execufive officer (CEO), chef operating officer (COO), and chef financial

Question

chief execufive officer (CEO), chef operating officer (COO), and chef financial officer (CFO) it must also appoint a planning committee with five dflerent 14 quaifed candidates, and officers can aho serve on the comeitoo Complte parts (a) thwough (c) below a How many dtorent ways can the officers be appointed? b. How many difterent ways can the commitlee be appointed? here areditorent ways to appoint the commitee c. What s the probability of tandonly selecting the commitie inembers and getting the five youngest of the quaifed candidates? Pigiting the five youngest of the qualifed candidaes)- (Type an integer or a simplited traction )

Explanation / Answer

Total officers = 14

a) Number of different ways to appoint the officers = 14P3 = 14! / (14 - 3)! = 2184

Here order of selection is important, so we used permutation.

b) Number of different ways the committee can be appointed = 14C5 = 14! / (5! * (14-5)!) = 2002

c) P(getting 5 youngest of the qualified candidates) = 1 / 2002

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