Finite Math Examples

${}_{150}P_{1}$

Step 1

Evaluate ${}_{150}P_{1}$ using the formula ${}_{n}P_{r} = \frac{n!}{(n - r)!}$ .

$\frac{150!}{(150 - 1)!}$

Step 2

Subtract $1$ from $150$ .

$\frac{150!}{(149)!}$

Step 3

Simplify $\frac{150!}{(149)!}$ .

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Step 3.1

Rewrite $150!$ as $150 \cdot 149!$ .

$\frac{150 \cdot 149!}{(149)!}$

Step 3.2

Cancel the common factor of $149!$ .

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Step 3.2.1

Cancel the common factor.

$\frac{150 \cdot 149!}{(149)!}$

Step 3.2.2

Divide $150$ by $1$ .

$150$