Evaluate (4!)/(3!(4-3)!)

$\frac{4!}{3! (4 - 3)!}$

Subtract $3$ from $4$ .

$\frac{4!}{3! (1)!}$

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

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

Cancel the common factor of $3!$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

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

$\frac{4}{1}$

Divide $4$ by $1$ .

$4$

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