Evaluate (7!)/(5!)

$\frac{7!}{5!}$

Step 1

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

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

Step 2

Cancel the common factor of $5!$ .

Cancel the common factor.

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

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

$7 \cdot 6$

$7 \cdot 6$

Step 3

Multiply $7$ by $6$ .

$42$

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