Answer
False; the correct expression is $\frac{n!}{\left( n-1 \right)!}=n $
Work Step by Step
The provided expression is $\frac{n!}{\left( n-1 \right)!}$
It can be rewritten as:
$\frac{n!}{\left( n-1 \right)!}=\frac{n\left( n-1 \right)!}{\left( n-1 \right)!}=n $