Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 11 - Review Exercises - Page 842: 89



Work Step by Step

If we want to choose $k$ elements out of $n$ regarding the order, not allowing repetition, we can do this in $_{n}P_k=\frac{n!}{(n-k)!}$ ways. The order matters here when injecting, thus we have to use permutations. We have $5$ samples for $5$ spots, thus $_{5}P_{5}=\frac{5!}{(5-5)!}=5!=120$
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