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 $1$ .

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

Step 3.2

Expand $(0)!$ to $1$ .

$\frac{6}{1}$

Step 3.3

Divide $6$ by $1$ .

$6$