Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 11 - Counting Methods and Probability Theory - 11.3 Combinations - Exercise Set 11.3 - Page 707: 29

Answer

20

Work Step by Step

The number of possible combinations if r items are taken from n items is nCr = $\frac{n!}{r!(n-r)!}$ The number of ways to select three city commissioners from a group of six candidates is: 6C3 = $\frac{6!}{3!(6-3)!}$ = $\frac{6*5*4*3!}{3!3!}$ =$\frac{6*5*4}{3*2*1}$ =5*4 =20 ways
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