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Evaluate (8!6!)/(5!7!)

$\frac{8! 6!}{5! 7!}$

Step 1

Rewrite $8!$ as $8 \cdot 7!$ .

$\frac{8 \cdot 7! 6!}{5! 7!}$

Step 2

Cancel the common factor of $7!$ .

Cancel the common factor.

$\frac{8 \cdot 7! 6!}{5! 7!}$

Rewrite the expression.

$\frac{86!}{5!}$

$\frac{86!}{5!}$

Step 3

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

$\frac{8 (6 \cdot 5!)}{5!}$

Step 4

Cancel the common factor of $5!$ .

Cancel the common factor.

$\frac{8 (6 \cdot 5!)}{5!}$

Divide $8 \cdot (6)$ by $1$ .

$8 \cdot (6)$

$8 \cdot (6)$

Step 5

Multiply $8$ by $6$ .

$48$

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