Evaluate 5!2!

$5! 2!$

Expand $5!$ to $5 \cdot 4 \cdot 3 \cdot 2 \cdot 1$ .

$5 \cdot 4 \cdot 3 \cdot 2 \cdot 12!$

Simplify.

Multiply $5$ by $4$ .

$20 \cdot 3 \cdot 2 \cdot 12!$

Multiply $20$ by $3$ .

$60 \cdot 2 \cdot 12!$

Multiply $60$ by $2$ .

$120 \cdot 12!$

Multiply $120$ by $1$ .

$1202!$

Expand $2!$ to $2 \cdot 1$ .

$120 (2 \cdot 1)$

Multiply $2$ by $1$ .

$120 \cdot 2$

Multiply $120$ by $2$ .

$240$