Thinking Mathematically (6th Edition)

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

Chapter 11 - Counting Methods and Probability Theory - 11.3 Combinations - Exercise Set 11.3: 59

Answer

792 ways

Work Step by Step

The order of the chosen does not matter. Combinations, ${}_{n}C_{r}=\displaystyle \frac{n!}{(n-r)!r!}$ ${}_{12}C_{5}=\displaystyle \frac{12!}{(12-5)!5!}$ $=\displaystyle \frac{12\times 11\times 10\times 9\times 8}{1\times 2\times 3\times 4\times 5}=$ $=\displaystyle \frac{1\times 11\times 1\times 9\times 8}{1\times 1\times 1\times 1\times 1}=$ 792 ways
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