# Equation with factorials

**Number Theory**Level 1

\[ \large \frac{(n-1)!}{(n+1)! - n!} = \frac1{81} \]

If \(n\) is a positive integer that satisfy the equation above, find the value of \(n\).

\[ \large \frac{(n-1)!}{(n+1)! - n!} = \frac1{81} \]

If \(n\) is a positive integer that satisfy the equation above, find the value of \(n\).

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