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Name: a committe of 4 is to be selected from 6 men and 5 women. 1 particular
Uploaded: 2024-03-20T06:38:44.000Z
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Description: a committe of 4 is to be selected from 6 men and 5 women. 1 particular man and 1 particular woman refuse to serve if the other person is on the committe. how many different committe may be formed

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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a committe of 4 is to be selected from 6 men and 5 women. 1 particular man and 1 particular woman refuse to serve if the other person is on the committe. how many different committe may be formed

Expert Solution

Step 1

From the given information, there are 6 men and 5 women. That is, the total number of persons is 11(=6+5). And a committee of 4 members is formed.

The number of ways for forming 4 members committee is ¹¹C₄=330.

Consider, the number of ways for a particular woman and man serve together is ⁹C₂=36.

The number of different ways if 1 particular man and 1 particular woman refuse to serve is, 330-36=294.

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