Score: 0.33 of 1 pt 28 01 52 (52 complete) HW Score: 87 2496, 4536 of 52 pts E Q

Question

Score: 0.33 of 1 pt 28 01 52 (52 complete) HW Score: 87 2496, 4536 of 52 pts E Question Help 4.4.23 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 13 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 17160 different ways to appoint the officers. b. How many different ways can the committee be appointed? There are? different ways to appoint the committee. Enter your answer in the answer box and then click Check Answer 1 remaining Clear Al tion 49 (0.20/1) Question 50 (0.50/1) Question 51 (1/1) Quest

Explanation / Answer

Combination formula, nCr = n!/(r! x (n-r)!)

Permutation formula, nPr = n!/(n-r)!

Number of qualified candidates = 13

Number of ways in which 4 officers can be appointed from 13P4

= 13!/(13-4)!

= 17,160

Number of ways in which the committee can be appointed = 13C3

= 13!/(3! x 10!)

= 286

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