Finite Math Examples

$\frac{25!}{20!}$

Step 1

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

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

Step 2

Cancel the common factor of $20!$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

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

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

Step 3

Multiply $25 \cdot 24 \cdot 23 \cdot 22 \cdot 21$ .

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Step 3.1

Multiply $25$ by $24$ .

$600 \cdot 23 \cdot 22 \cdot 21$

Step 3.2

Multiply $600$ by $23$ .

$13800 \cdot 22 \cdot 21$

Step 3.3

Multiply $13800$ by $22$ .

$303600 \cdot 21$

Step 3.4

Multiply $303600$ by $21$ .

$6375600$