College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Summary, Review, and Test - Review Exercises - Page 790: 82

Answer

$120$

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 in the runway order, thus we have to use permutations and we choose $5$ planes out of $5$. Thus the number of possibilities is $_{5}P_{5}=\frac{5!}{(5-5)!}=\frac{5\cdot4\cdot3\cdot2\cdot1}{1}=120$
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