Finite Math Examples

${}_{8}P_{2}$

Step 1

Evaluate

${}_{8}P_{2}$ using the formula

${}_{n}P_{r} = \frac{n!}{(n - r)!}$ .

$\frac{8!}{(8 - 2)!}$

Step 2

Subtract

$2$ from

$8$ .

$\frac{8!}{(6)!}$

Step 3

Simplify

$\frac{8!}{(6)!}$ .

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Step 3.1

Rewrite

$8!$ as

$8 \cdot 7 \cdot 6!$ .

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

Step 3.2

Cancel the common factor of

$6!$ .

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Step 3.2.1

Cancel the common factor.

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

Step 3.2.2

Divide

$8 \cdot 7$ by

$1$ .

$8 \cdot 7$

$8 \cdot 7$

Step 3.3

Multiply

$8$ by

$7$ .

$56$

$56$

${}_{8}P_{2}$

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$