Finite Math Examples

{}_{2}P_{2}

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

Step 1

Evaluate

{}_{2}P_{2}

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

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

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

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

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

Step 2

Subtract

2

$2$ from

2

$2$ .

\frac{2!}{(0)!}

$\frac{2!}{(0)!}$

Step 3

Simplify

\frac{2!}{(0)!}

$\frac{2!}{(0)!}$ .

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Step 3.1

Simplify the numerator.

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Step 3.1.1

Expand

2!

$2!$ to

2 \cdot 1

$2 \cdot 1$ .

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

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

Step 3.1.2

Multiply

2

$2$ by

1

$1$ .

\frac{2}{(0)!}

$\frac{2}{(0)!}$

\frac{2}{(0)!}

$\frac{2}{(0)!}$

Step 3.2

Expand

(0)!

$(0)!$ to

1

$1$ .

\frac{2}{1}

$\frac{2}{1}$

Step 3.3

Divide

2

$2$ by

1

$1$ .

2

$2$

2

$2$

{}_{2}P_{2}

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

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

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