Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 13 - Counting and Probability - 13.2 Permutations and Combinations - 13.2 Asses Your Understanding - Page 855: 29

Answer

There are four combinations are: $123, 124, 134, 234.$ $C(4, 3)=4$

Work Step by Step

The combinations are: $123, 124, 134, 234.$ We know that $C(n,r)=\dfrac{n!}{(n-r)!r!}$. Hence, $C(4,3)=\dfrac{4!}{(4-3)!\cdot3!}=\dfrac{4\cdot3!}{1\cdot3!}=\dfrac{4}{1}=4$
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