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

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

Step 1

Cancel the common factor of $4!$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

Step 2

Simplify the denominator.

Subtract $4$ from $4$ .

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

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

$\frac{1}{1}$

$\frac{1}{1}$

Step 3

Divide $1$ by $1$ .

$1$

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