Trigonometry Examples

$\frac{16!}{2! \cdot 14!}$

Step 1

Rewrite $16!$ as $16 \cdot 15 \cdot 14!$ .

$\frac{16 \cdot 15 \cdot 14!}{2! \cdot 14!}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Cancel the common factor of $14!$ .

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Step 2.1.1

Cancel the common factor.

$\frac{16 \cdot 15 \cdot 14!}{2! \cdot 14!}$

Step 2.1.2

Rewrite the expression.

$\frac{16 \cdot 15}{2!}$

Step 2.2

Multiply $16$ by $15$ .

$\frac{240}{2!}$

Step 3

Simplify the denominator.

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Step 3.1

Expand $2!$ to $2 \cdot 1$ .

$\frac{240}{2 \cdot 1}$

Step 3.2

Multiply $2$ by $1$ .

$\frac{240}{2}$

Step 4

Divide $240$ by $2$ .

$120$