Question

is Question: 3 pts 2 of 15 (1 complete) TTs Tebt. 21 Question Hep A corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO) It must als0 appoint a planning commitee with three dillerent members There are 17 qualifed candidates, and officers can also serve on the commitee Complete parts (a) through (c) below a. How many diflerent ways can the officers be appointed? There are diferent ways to appoint the officers. b. How many diferent ways can the commitee be appointed? There are diferent ways to appoiet the commitee c.What is the peobability of randomly selecting the committee members and getting the three youngest of the qualified candidates? Pigeting the three youngest of the qualifed candidates) (Type an integer or a simplified traction) pa Center Enter your answer in each of the answer bowes Resources C Type here to seach 2 C 2 4 7 3 7 C beckip W T Y A D F G J K H pause V N В / alt ctri ш

Answer 1

Hello Sir/ Mam

Given that there are 17 total qualified members and we have to select 4 officers.

Hence,

(a)

$No. \ of \ ways = 17*16*15=4080 \ ways$

(b)

Now, out of 17 qualified, 3 committee members are to be chosen, hence,

$No. \ of \ ways = \binom{17}{3}=680 \ ways$

(c)

There can only be 1 combination of selecting the youngest 3 members. Hence,

$The \ required \ probability= \frac{1}{\binom{17}{3}}=\frac{1}{680}=0.00147 =0.15\%$

I hope this solves your doubt.

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