Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 11 - Counting Methods and Probability Theory - 11.2 Permutations - Exercise Set 11.2 - Page 701: 16

Answer

26,970

Work Step by Step

$\frac{31!}{28!}$ = $\frac{31*30*29*28!}{28!}$ 28! is common in the numerator and the denominator of the given expression, so cancel 28!. Therefore, evaluate $31*30*29 =26,970$
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