Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 11 - 11.6 - Counting Principles - 11.6 Exercises - Page 825: 67


$292,600$ different six-member committees are possible.

Work Step by Step

The order in which the members are selected is not important. Use combinations with the Fundamental Couting Principle. $_7C_1·~_{12}C_3·~_{20}C_2=\frac{7!}{(7-1)!~1!}·\frac{12!}{(12-3)!~3!}·\frac{20!}{(20-2)!~2!}=7\times220\times190=292,600$
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