Finite Math Examples

${}_{2}P_{1}$

Step 1

Evaluate ${}_{2}P_{1}$ using the formula ${}_{n}P_{r} = \frac{n!}{(n - r)!}$ .

$\frac{2!}{(2 - 1)!}$

Step 2

Subtract $1$ from $2$ .

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

Step 3

Simplify $\frac{2!}{(1)!}$ .

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Step 3.1

Simplify the numerator.

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Step 3.1.1

Expand $2!$ to $2 \cdot 1$ .

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

Step 3.1.2

Multiply $2$ by $1$ .

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

Step 3.2

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

$\frac{2}{1}$

Step 3.3

Divide $2$ by $1$ .

$2$