Finite Math Examples

${}_{7}P_{3}$

Step 1

Evaluate

${}_{7}P_{3}$ using the formula

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

$\frac{7!}{(7 - 3)!}$

Step 2

Subtract

$3$ from

$7$ .

$\frac{7!}{(4)!}$

Step 3

Simplify

$\frac{7!}{(4)!}$ .

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Step 3.1

Rewrite

$7!$ as

$7 \cdot 6 \cdot 5 \cdot 4!$ .

$\frac{7 \cdot 6 \cdot 5 \cdot 4!}{(4)!}$

Step 3.2

Cancel the common factor of

$4!$ .

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Step 3.2.1

Cancel the common factor.

$\frac{7 \cdot 6 \cdot 5 \cdot 4!}{(4)!}$

Step 3.2.2

Divide

$7 \cdot 6 \cdot 5$ by

$1$ .

$7 \cdot 6 \cdot 5$

$7 \cdot 6 \cdot 5$

Step 3.3

Multiply

$7 \cdot 6 \cdot 5$ .

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Step 3.3.1

Multiply

$7$ by

$6$ .

$42 \cdot 5$

Step 3.3.2

Multiply

$42$ by

$5$ .

$210$

$210$

$210$

Enter a problem...

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