Algebra Examples

$\frac{7!}{5! \cdot 2!}$

Step 1

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

$\frac{7 \cdot 6 \cdot 5!}{5! \cdot 2!}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Cancel the common factor of $5!$ .

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Step 2.1.1

Cancel the common factor.

$\frac{7 \cdot 6 \cdot 5!}{5! \cdot 2!}$

Step 2.1.2

Rewrite the expression.

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

Step 2.2

Multiply $7$ by $6$ .

$\frac{42}{2!}$

Step 3

Simplify the denominator.

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Step 3.1

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

$\frac{42}{2 \cdot 1}$

Step 3.2

Multiply $2$ by $1$ .

$\frac{42}{2}$

Step 4

Divide $42$ by $2$ .

$21$