Evaluate (7!)/(3!)

$\frac{7!}{3!}$

Step 1

Rewrite $7!$ as $7 \cdot 6 \cdot 5 \cdot 4 \cdot 3!$ .

$\frac{7 \cdot 6 \cdot 5 \cdot 4 \cdot 3!}{3!}$

Step 2

Cancel the common factor of $3!$ .

Cancel the common factor.

$\frac{7 \cdot 6 \cdot 5 \cdot 4 \cdot 3!}{3!}$

Divide $7 \cdot 6 \cdot 5 \cdot 4$ by $1$ .

$7 \cdot 6 \cdot 5 \cdot 4$

Step 3

Multiply $7 \cdot 6 \cdot 5 \cdot 4$ .

Multiply $7$ by $6$ .

$42 \cdot 5 \cdot 4$

Multiply $42$ by $5$ .

$210 \cdot 4$

Multiply $210$ by $4$ .

$840$