Evaluate (4!)/(2!2!)

$\frac{4!}{2! 2!}$

Rewrite $4!$ as $4 \cdot 3 \cdot 2!$ .

$\frac{4 \cdot 3 \cdot 2!}{2! 2!}$

Reduce the expression by cancelling the common factors.

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Cancel the common factor of $2!$ .

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Cancel the common factor.

$\frac{4 \cdot 3 \cdot 2!}{2! 2!}$

Rewrite the expression.

$\frac{4 \cdot 3}{2!}$

Multiply $4$ by $3$ .

$\frac{12}{2!}$

Simplify the denominator.

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

$\frac{12}{2 \cdot 1}$

Multiply $2$ by $1$ .

$\frac{12}{2}$

Divide $12$ by $2$ .

$6$

Evaluate (4!)/(2!2!)

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