Finite Math Examples

${}_{3}P_{3}$

Step 1

Evaluate

${}_{3}P_{3}$ using the formula

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

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

Step 2

Subtract

$3$ from

$3$ .

$\frac{3!}{(0)!}$

Step 3

Simplify

$\frac{3!}{(0)!}$ .

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Step 3.1

Simplify the numerator.

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Step 3.1.1

Expand

$3!$ to

$3 \cdot 2 \cdot 1$ .

$\frac{3 \cdot 2 \cdot 1}{(0)!}$

Step 3.1.2

Multiply

$3 \cdot 2 \cdot 1$ .

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Step 3.1.2.1

Multiply

$3$ by

$2$ .

$\frac{6 \cdot 1}{(0)!}$

Step 3.1.2.2

Multiply

$6$ by

$1$ .

$\frac{6}{(0)!}$

$\frac{6}{(0)!}$

$\frac{6}{(0)!}$

Step 3.2

Expand

$(0)!$ to

$1$ .

$\frac{6}{1}$

Step 3.3

Divide

$6$ by

$1$ .

$6$

$6$

${}_{3}P_{3}$

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