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: 43

Answer

1716

Work Step by Step

The number of possible combinations if r items are taken from n items is nCr = $\frac{n!}{r!(n-r)!}$ Number of ways 6 people can be selected from 13 people who have volunteered for the test: 13C6= $\frac{13!}{6!(13-6)!}$ = $\frac{13!}{6!7!}$ = $\frac{13*12*11*10*9*8*7!}{6!7!}$ =$\frac{13*12*11*10*9*8}{6*5*4*3*2*1}$ = 1716 ways
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