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A corporation must appoint a president, chief executive officer (CEO), chief operating officer (CO0), and chief financial officer (CFO). It must also appoint a planning committee with five different members. There are 15 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 32,760` different ways to appoint the officers. b. How many different ways can the committee be appointed? There are 3,003 different ways to appoint the committee. c. What is the probability of randomly selecting the committee members and getting the five youngest of the qualified candidates? P(getting the five youngest of the qualified candidates) = (Type an integer or a simplified fraction.)

A corporation must appoint a president, chief executive officer (CEO), chief operating officer (CO0), and chief financial officer (CFO). It must also appoint a planning committee with five different members. There are 15 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 32,760` different ways to appoint the officers. b. How many different ways can the committee be appointed? There are 3,003 different ways to appoint the committee. c. What is the probability of randomly selecting the committee members and getting the five youngest of the qualified candidates? P(getting the five youngest of the qualified candidates) = (Type an integer or a simplified fraction.)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A corporation must appoint a president, chief executive officer (CEO), chief operating officer (CO0), and chief financial officer (CFO). It must also appoint a planning committee with five different members. There are 15 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 32,760` different ways to appoint the officers. b. How many different ways can the committee be appointed? There are 3,003 different ways to appoint the committee. c. What is the probability of randomly selecting the committee members and getting the five youngest of the qualified candidates? P(getting the five youngest of the qualified candidates) = (Type an integer or a simplified fraction.)
Transcribed Image Text:A corporation must appoint a president, chief executive officer (CEO), chief operating officer (CO0), and chief financial officer (CFO). It must also appoint a planning committee with five different members. There are 15 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 32,760` different ways to appoint the officers. b. How many different ways can the committee be appointed? There are 3,003 different ways to appoint the committee. c. What is the probability of randomly selecting the committee members and getting the five youngest of the qualified candidates? P(getting the five youngest of the qualified candidates) = (Type an integer or a simplified fraction.)
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