Find the Numerical Value $P _ { n } ^ { N } ?$

Multiple Choice

Find the numerical value.
-Which expression is equivalent to $P _ { n } ^ { N } ?$

A) $\frac { N ! } { ( N ' n ) ! }$
B) $\frac { N ! } { n ! ( N + n ) ! }$
C) $\frac { N ! } { n ! }$
D) $\frac { N ! n ! } { ( N ' n ) ! }$