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Chapter 13: Q. 41 (page 855)

Establishing Committees In how many ways can a committee of 4 students be formed from a pool of 7 students?

Short Answer

Expert verified

The number of different committees that can be formed is 35.

Step by step solution

01

Step 1. Given information.

Total number of students is 7.

Students required for the committee is 4.

02

Step 2. Determine the number of committees.

The order of being selected for a committee is not significant. So, the problem asks for the number of combinations of 7 objects taken 4 at a time.

C(7,4)=7!(7-4)!4!=7!3!4!=7路6路5路4!3路2路1路4!=35

03

Step 3. Conclusion.

The number of different committees that can be formed is 35.

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