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 - Concept and Vocabulary Check: 3

Answer

$\displaystyle \frac{n!}{p!q!}$

Work Step by Step

See: Permutations of Duplicate Items, page 699. The number of permutations of $n$ items, where $p$ items are identical, $q$ items are identical, $r$ items are identical, and so on, is $\displaystyle \frac{n!}{p!q!r!\ldots}$ ------------------ Fill the blank with $\displaystyle \frac{n!}{p!q!}$
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