Thinking Mathematically (6th Edition)

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

Chapter 11 - Counting Methods and Probability Theory - Chapter 11 Test - Page 762: 3

Answer

$720$

Work Step by Step

We know that if we want to select $r$ objects out of $n$ regarding the order, we can do this in $_nP_r=\frac{n!}{(n-r)!}$ ways. The first plane leaving is determined by the number of passengers, the other $6$ are "random" in terms of order. Hence here the number of possibilities is $_6P_6=\frac{6!}{(6-6)!}=6!=720$
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