Log out Go to App
Go to App

Learning Materials

Features

Discover

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!=7·6·5·4!3·2·1·4!=35

03

Step 3. Conclusion.

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

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A golf ball is selected at random from a container. If the container has 9 white balls, 8 green balls, and 3 orange balls, find the probability of each event.

The golf ball is white or green.

Use the information given in the figure.

How many are in A and B?

In Problems 11–16, construct a probability model for each experiment.

Tossing two fair coins, then a fair die.

Find the probability of the indicated event if P(A)=0.25andP(B)=0.45

P(A∪B)ifP(A∩B)=0.15

List all the combinations of 4 objects 1, 2, 3, and 4 taken 3 at a time. What is C(4,3)?
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free