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Evaluate (8!)/(2!6!)

$\frac{8!}{2! 6!}$

Step 1

Rewrite $8!$ as $8 \cdot 7 \cdot 6!$ .

$\frac{8 \cdot 7 \cdot 6!}{2! 6!}$

Step 2

Reduce the expression by cancelling the common factors.

Cancel the common factor of $6!$ .

Cancel the common factor.

$\frac{8 \cdot 7 \cdot 6!}{2! 6!}$

Rewrite the expression.

$\frac{8 \cdot 7}{2!}$

$\frac{8 \cdot 7}{2!}$

Multiply $8$ by $7$ .

$\frac{56}{2!}$

$\frac{56}{2!}$

Step 3

Simplify the denominator.

Expand $2!$ to $2 \cdot 1$ .

$\frac{56}{2 \cdot 1}$

Multiply $2$ by $1$ .

$\frac{56}{2}$

$\frac{56}{2}$

Step 4

Divide $56$ by $2$ .

$28$

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