Algebra and Trigonometry 10th Edition

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

Chapter 11824 - 11.6 - Counting Principles - 11.6 Exercises - Page 824: 62


There are $3,838,380$ ways for a player to select the 6 numbers.

Work Step by Step

The order in which the 6 numbers are selected is not important. $_{40}C_6=\frac{40!}{(40-6)!~6!}=\frac{40\times39\times38\times37\times36\times35\times34!}{34!\times720}=3,838,380$
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