• question_answer Statement-1: $\frac{({{n}^{2}})!}{{{(n!)}^{n}}}$ is a natural number for all$n\in N$. Statement-2: The number of ways of distributing $mn$ things in $m$ groups each containing $n$ things is$\frac{(mn)!}{{{(n!)}^{m}}}$. A)  Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.B)  Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.C)  Statement-1 is true, Statement-2 is false.D)  Statement-1 is false, Statement-2 is true.

The number of ways of distributing $mn$ things $m$ groups each containing n things is$\frac{(mn)!}{{{(n!)}^{m}}}$here if $m=n$, then $\frac{({{n}^{2}})!}{{{(n!)}^{n}}}$ which must be a natural number.