College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 10 - Section 10.2 - Permutations and Combinations - 10.2 Assess Your Understanding - Page 695: 17

Answer

$C(7,4)=35$

Work Step by Step

Using the combination formula, we obtain: $C(n,r)=\frac{n!}{(n-r)!r!}$ $C(7,4)=\frac{7!}{(7-4)!4!}=\frac{7!}{3!4!}=\frac{7\cdot6\cdot5\cdot4!}{4!\cdot3\cdot2\cdot1}=35$
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