Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 11 - Chapter Test - Page 843: 15


(a) $_{11}C_4=330$ (b) $_{66}C_4=720,720$

Work Step by Step

(a) $_{11}C_4=\frac{11!}{(11-4)!~4!}=\frac{11\times10\times9\times8\times7!}{7!\times4\times3\times2\times1}=330$ (b) $_{66}C_4=\frac{66!}{(66-4)!~4!}=\frac{66\times65\times64\times63\times62!}{62!\times4\times3\times2\times1}=720,720$
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