Evaluate (10!)/(7!)

$\frac{10!}{7!}$

Step 1

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

$\frac{10 \cdot 9 \cdot 8 \cdot 7!}{7!}$

Step 2

Cancel the common factor of $7!$ .

Cancel the common factor.

$\frac{10 \cdot 9 \cdot 8 \cdot 7!}{7!}$

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

$10 \cdot 9 \cdot 8$

$10 \cdot 9 \cdot 8$

Step 3

Multiply $10 \cdot 9 \cdot 8$ .

Multiply $10$ by $9$ .

$90 \cdot 8$

Multiply $90$ by $8$ .

$720$

$720$

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