Evaluate 2!*3!

$2! \cdot 3!$

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

$2 \cdot 1 \cdot 3!$

Multiply $2$ by $1$ .

$2 \cdot 3!$

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

$2 \cdot (3 \cdot 2 \cdot 1)$

Simplify.

Multiply $3$ by $2$ .

$2 \cdot (6 \cdot 1)$

Multiply $6$ by $1$ .

$2 \cdot 6$

$2 \cdot 6$

Multiply $2$ by $6$ .

$12$

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