- #1
themadhatter1
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Homework Statement
Solve for n.
[tex](14)_{n}P_{3}=_{n+2}P_{4}[/tex]
Homework Equations
[tex]_{n}P_{r}=\frac{n!}{(n-r)!}[/tex]
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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