There are 15 members on the board of directors for the Hospital. If they must  elect a chairperson, a vice-chairperson, a secretary, and a 4-person ethics subcommittee, how  many ways are there to do this?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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There are 15 members on the board of directors for the Hospital. If they must 
elect a chairperson, a vice-chairperson, a secretary, and a 4-person ethics subcommittee, how 
many ways are there to do this?

Expert Solution
Step 1

Determine the number of ways to select a chairperson, a vice-chairperson, a secretary, and a 4-person ethics subcommittee.

 

The number of ways to select a chairperson, a vice-chairperson, a secretary, and a 4-person ethics subcommittee is obtained below as follows:

 

From the information, given that

 

The total number of members on the board of directors for the Hospital=15.

 

Among which a three members chairperson, a vice-chairperson, a secretary has to selected in order and other 4 person ethics subcommittee where the order of selection is not needed.

 

 

 

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