Solving an inequality : $n \geq 3$ , $n^{n} \lt (n!)^{2}$. [duplicate]
Hint : $$n \le r(n-r+1)$$
Now take the product for $r=1$ to $r=n$.
Solving an inequality : $n \geq 3$ , $n^{n} \lt (n!)^{2}$. [duplicate]
Hint : $$n \le r(n-r+1)$$
Now take the product for $r=1$ to $r=n$.