Solve for: (14!)/((14-6)!)

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Expression: $\frac{14!}{\left(14 - 6\right)!}$

Subtract 6 from 14.

$$\frac{14!}{\left(8\right)!}$$

Rewrite 14! as 14⋅13⋅12⋅11⋅10⋅9⋅8!.

$$\frac{14\cdot13\cdot12\cdot11\cdot10\cdot9\cdot8!}{\left(8\right)!}$$

Cancel the common factor of 8!.

$$14\cdot13\cdot12\cdot11\cdot10\cdot9$$

Multiply 14⋅13⋅12⋅11⋅10⋅9.

$$2162160$$

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