Evaluate (5!)/((5-5)!)

$\frac{5!}{(5 - 5)!}$

Simplify the numerator.

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

$\frac{5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{(5 - 5)!}$

Simplify.

Multiply $5$ by $4$ .

$\frac{20 \cdot 3 \cdot 2 \cdot 1}{(5 - 5)!}$

Multiply $20$ by $3$ .

$\frac{60 \cdot 2 \cdot 1}{(5 - 5)!}$

Multiply $60$ by $2$ .

$\frac{120 \cdot 1}{(5 - 5)!}$

Multiply $120$ by $1$ .

$\frac{120}{(5 - 5)!}$

Simplify the denominator.

Subtract $5$ from $5$ .

$\frac{120}{(0)!}$

Expand $(0)!$ to $1$ .

$\frac{120}{1}$

Divide $120$ by $1$ .

$120$