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: 61

Answer

There are $324,623$ ways for a player to select the 5 numbers.

Work Step by Step

The order in which the 5 numbers are selected is not important. $_{35}C_5=\frac{35!}{(35-5)!~5!}=\frac{35\times34\times33\times32\times31\times30!}{30!\times120}=324,623$
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