Finite Math Examples

$\frac{20!}{15!}$

Step 1

Rewrite $20!$ as $20 \cdot 19 \cdot 18 \cdot 17 \cdot 16 \cdot 15!$ .

$\frac{20 \cdot 19 \cdot 18 \cdot 17 \cdot 16 \cdot 15!}{15!}$

Step 2

Cancel the common factor of $15!$ .

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Step 2.1

Cancel the common factor.

$\frac{20 \cdot 19 \cdot 18 \cdot 17 \cdot 16 \cdot 15!}{15!}$

Step 2.2

Divide $20 \cdot 19 \cdot 18 \cdot 17 \cdot 16$ by $1$ .

$20 \cdot 19 \cdot 18 \cdot 17 \cdot 16$

Step 3

Multiply $20 \cdot 19 \cdot 18 \cdot 17 \cdot 16$ .

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Step 3.1

Multiply $20$ by $19$ .

$380 \cdot 18 \cdot 17 \cdot 16$

Step 3.2

Multiply $380$ by $18$ .

$6840 \cdot 17 \cdot 16$

Step 3.3

Multiply $6840$ by $17$ .

$116280 \cdot 16$

Step 3.4

Multiply $116280$ by $16$ .

$1860480$