Finite Math Examples

$\frac{10!}{(10 - 5)!}$

Step 1

Subtract $5$ from $10$ .

$\frac{10!}{(5)!}$

Step 2

Rewrite $10!$ as $10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5!$ .

$\frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5!}{(5)!}$

Step 3

Cancel the common factor of $5!$ .

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Step 3.1

Cancel the common factor.

$\frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5!}{(5)!}$

Step 3.2

Divide $10 \cdot 9 \cdot 8 \cdot 7 \cdot 6$ by $1$ .

$10 \cdot 9 \cdot 8 \cdot 7 \cdot 6$

Step 4

Multiply $10 \cdot 9 \cdot 8 \cdot 7 \cdot 6$ .

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Step 4.1

Multiply $10$ by $9$ .

$90 \cdot 8 \cdot 7 \cdot 6$

Step 4.2

Multiply $90$ by $8$ .

$720 \cdot 7 \cdot 6$

Step 4.3

Multiply $720$ by $7$ .

$5040 \cdot 6$

Step 4.4

Multiply $5040$ by $6$ .

$30240$