Finite Math Examples

$\frac{27!}{19!}$

Step 1

Rewrite $27!$ as $27 \cdot 26 \cdot 25 \cdot 24 \cdot 23 \cdot 22 \cdot 21 \cdot 20 \cdot 19!$ .

$\frac{27 \cdot 26 \cdot 25 \cdot 24 \cdot 23 \cdot 22 \cdot 21 \cdot 20 \cdot 19!}{19!}$

Step 2

Cancel the common factor of $19!$ .

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Step 2.1

Cancel the common factor.

$\frac{27 \cdot 26 \cdot 25 \cdot 24 \cdot 23 \cdot 22 \cdot 21 \cdot 20 \cdot 19!}{19!}$

Step 2.2

Divide $27 \cdot 26 \cdot 25 \cdot 24 \cdot 23 \cdot 22 \cdot 21 \cdot 20$ by $1$ .

$27 \cdot 26 \cdot 25 \cdot 24 \cdot 23 \cdot 22 \cdot 21 \cdot 20$

Step 3

Multiply $27 \cdot 26 \cdot 25 \cdot 24 \cdot 23 \cdot 22 \cdot 21 \cdot 20$ .

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Step 3.1

Multiply $27$ by $26$ .

$702 \cdot 25 \cdot 24 \cdot 23 \cdot 22 \cdot 21 \cdot 20$

Step 3.2

Multiply $702$ by $25$ .

$17550 \cdot 24 \cdot 23 \cdot 22 \cdot 21 \cdot 20$

Step 3.3

Multiply $17550$ by $24$ .

$421200 \cdot 23 \cdot 22 \cdot 21 \cdot 20$

Step 3.4

Multiply $421200$ by $23$ .

$9687600 \cdot 22 \cdot 21 \cdot 20$

Step 3.5

Multiply $9687600$ by $22$ .

$213127200 \cdot 21 \cdot 20$

Step 3.6

Multiply $213127200$ by $21$ .

$4475671200 \cdot 20$

Step 3.7

Multiply $4475671200$ by $20$ .

$89513424000$