Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321755936
ISBN 13: 978-0-32175-593-3

Chapter 3 - Probability - Exercises 3.1 - 3.34 - Learning the Mechanics - Page 120: 3.13c



Work Step by Step

The number of ways of selecting $n$ elements from $N$ elements is given by the combinations rule: $$\binom{N}{n} = \dfrac{N!}{n! (N-n)!}$$ The number of ways of selecting 5 elements from 20 elements is given by ${\displaystyle{\binom{20}{5}}= \dfrac{20!}{5! \, (20-5)!}= \dfrac{20!}{5! \, 15!} = \boxed{15504}}$
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