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: 42


The sprinters can come in $336$ different ways in first, second and third.

Work Step by Step

The order in which the sprinters finish the 100-meter dash is important. It is a permutation of 3 sprinters from a group of 8 sprinters. $_{8}P_3=\frac{8!}{(8-3)!}=\frac{8\times7\times6\times5!}{5!}=336$
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