Answer
$n=5$
Work Step by Step
$5·~_{n-1}P_1=~_{n}P_2$
$5~\frac{(n-1)!}{(n-1-1)!}=\frac{n!}{(n-2)!}$
$5=\frac{n!~(n-1-1)!}{(n-1)!~(n-2)!}=\frac{n(n-1)!~(n-2)!}{(n-1)!~(n-2)!}$
$5=n$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.