Finite Math Examples

${}_{5}P_{2}$

Step 1

Evaluate

${}_{5}P_{2}$ using the formula

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

$\frac{5!}{(5 - 2)!}$

Step 2

Subtract

$2$ from

$5$ .

$\frac{5!}{(3)!}$

Step 3

Simplify

$\frac{5!}{(3)!}$ .

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Step 3.1

Rewrite

$5!$ as

$5 \cdot 4 \cdot 3!$ .

$\frac{5 \cdot 4 \cdot 3!}{(3)!}$

Step 3.2

Cancel the common factor of

$3!$ .

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Step 3.2.1

Cancel the common factor.

$\frac{5 \cdot 4 \cdot 3!}{(3)!}$

Step 3.2.2

Divide

$5 \cdot 4$ by

$1$ .

$5 \cdot 4$

$5 \cdot 4$

Step 3.3

Multiply

$5$ by

$4$ .

$20$

$20$

${}_{5}P_{2}$

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