Finite Math Examples

${}_{10}P_{2}$

Step 1

Evaluate

${}_{10}P_{2}$ using the formula

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

$\frac{10!}{(10 - 2)!}$

Step 2

Subtract

$2$ from

$10$ .

$\frac{10!}{(8)!}$

Step 3

Simplify

$\frac{10!}{(8)!}$ .

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Step 3.1

Rewrite

$10!$ as

$10 \cdot 9 \cdot 8!$ .

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

Step 3.2

Cancel the common factor of

$8!$ .

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Step 3.2.1

Cancel the common factor.

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

Step 3.2.2

Divide

$10 \cdot 9$ by

$1$ .

$10 \cdot 9$

$10 \cdot 9$

Step 3.3

Multiply

$10$ by

$9$ .

$90$

$90$

${}_{10}P_{2}$

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