2. A corporation must appoint a president, chief executive officer (CEO), chief financial officer (CFO) and chief operating officer (COO). It must also appoint a planning committee with four different members. These are 9 qualified candidates, and officers can also serve on the committee. (i) How many different ways can the officers be appointed? (ii) How many different ways can the committee be appointed? (iii) What is the probability of randomly selecting the committee members and getting the five youngest of the qualified candidates?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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2. A corporation must appoint a president, chief executive officer (CEO), chief financial 
officer (CFO) and chief operating officer (COO). It must also appoint a planning 
committee with four different members. These are 9 qualified candidates, and officers 
can also serve on the committee.
(i) How many different ways can the officers be appointed?
(ii) How many different ways can the committee be appointed?
(iii) What is the probability of randomly selecting the committee members and 
getting the five youngest of the qualified candidates?

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