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

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

Cancel the common factor of $5!$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

Simplify the denominator.

Subtract $5$ from $5$ .

$\frac{1}{(0)!}$

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

$\frac{1}{1}$

$\frac{1}{1}$

Divide $1$ by $1$ .

$1$

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