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

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

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.