Evaluate (5!)/((5-4)!4!)

$\frac{5!}{(5 - 4)! 4!}$

Subtract $4$ from $5$ .

$\frac{5!}{(1)! 4!}$

Rewrite $5!$ as $5 \cdot 4!$ .

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

Cancel the common factor of $4!$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

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

$\frac{5}{1}$

Divide $5$ by $1$ .

$5$

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