Finite Math Examples

${}_{10}P_{3}$

Step 1

Evaluate

${}_{10}P_{3}$ using the formula

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

$\frac{10!}{(10 - 3)!}$

Step 2

Subtract

$3$ from

$10$ .

$\frac{10!}{(7)!}$

Step 3

Simplify

$\frac{10!}{(7)!}$ .

Tap for more steps...

Step 3.1

Rewrite

$10!$ as

$10 \cdot 9 \cdot 8 \cdot 7!$ .

$\frac{10 \cdot 9 \cdot 8 \cdot 7!}{(7)!}$

Step 3.2

Cancel the common factor of

$7!$ .

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Step 3.2.1

Cancel the common factor.

$\frac{10 \cdot 9 \cdot 8 \cdot 7!}{(7)!}$

Step 3.2.2

Divide

$10 \cdot 9 \cdot 8$ by

$1$ .

$10 \cdot 9 \cdot 8$

$10 \cdot 9 \cdot 8$

Step 3.3

Multiply

$10 \cdot 9 \cdot 8$ .

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Step 3.3.1

Multiply

$10$ by

$9$ .

$90 \cdot 8$

Step 3.3.2

Multiply

$90$ by

$8$ .

$720$

$720$

$720$

${}_{10}P_{3}$

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