(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Solve for n.

[tex](14)_{n}P_{3}=_{n+2}P_{4}[/tex]

2. Relevant equations

[tex]_{n}P_{r}=\frac{n!}{(n-r)!}[/tex]

3. The attempt at a solution

First I write the problem with the equations written out

[tex]\frac{14n!}{(n-3)!}=\frac{(n+2)!}{(n-2)!}[/tex]

I'm not quite sure how to isolate the n with all of the factorials going on.

If I subtract the RHS over to the left I get:

[tex]\frac{(n-2)!14n!-(n+2)!(n-3)!}{(n-2)!(n-3)!}[/tex]

Not sure if this is helpful or not.

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# Homework Help: Permutations Problem

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