Finite Math Examples

${}_{6}P_{2}$

Evaluate ${}_{6}P_{2}$ using the formula ${}_{n}P_{r} = \frac{n!}{(n - r)!}$ .

$\frac{6!}{(6 - 2)!}$

Simplify $\frac{6!}{(6 - 2)!}$ .

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Subtract $2$ from $6$ .

$\frac{6!}{(4)!}$

Rewrite $6!$ as $6 \cdot 5 \cdot 4!$ .

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

Reduce the expression by cancelling the common factors.

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Cancel the common factor.

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

Divide $6 \cdot 5$ by $1$ .

$6 \cdot 5$

Multiply $6$ by $5$ .

$30$

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