College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 10 - Section 10.2 - Permutations and Combinations - 10.2 Assess Your Understanding - Page 696: 51

Answer

$90, 720$

Work Step by Step

The number of permutation of $n$ objects that are not all distinct is: $\frac{n!}{n_{1}! \times n_{2}! ... n_{k}!}$ where $n_{1} + n_{2} + ... + n_{k} = n$ and $n_{1}$ are of one kind, $n_{2}$ are of a second kind, ... and $n_{k}$ are of a $k$th kind. $\frac{9!}{2! \times 2! \times 1! \times 1! \times 1! \times 1! \times 1!} = \frac{362,880}{2 \times 2} = 90,720$
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