It is clear that  must be integer positive.

Therefore, let us introduce new variable m = .

Then n = 3m,  and the equation takes the form

(3m)C2 - 5P(m,2) + m = 9.

Or   - 5*m*(m-1) + m = 9.

This is a quadratic equation, and you can solve it.

The following quadratic ensues: , which means that:  

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