# Chapter 11 - Counting Methods and Probability Theory - 11.3 Combinations - Exercise Set 11.3 - Page 708: 59

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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