Finite Math Examples

${}_{4}P_{4}$

Step 1

Evaluate ${}_{4}P_{4}$ using the formula ${}_{n}P_{r} = \frac{n!}{(n - r)!}$ .

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

Step 2

Subtract $4$ from $4$ .

$\frac{4!}{(0)!}$

Step 3

Simplify $\frac{4!}{(0)!}$ .

Tap for more steps...

Step 3.1

Simplify the numerator.

Tap for more steps...

Step 3.1.1

Expand $4!$ to $4 \cdot 3 \cdot 2 \cdot 1$ .

$\frac{4 \cdot 3 \cdot 2 \cdot 1}{(0)!}$

Step 3.1.2

Multiply $4 \cdot 3 \cdot 2 \cdot 1$ .

Tap for more steps...

Step 3.1.2.1

Multiply $4$ by $3$ .

$\frac{12 \cdot 2 \cdot 1}{(0)!}$

Step 3.1.2.2

Multiply $12$ by $2$ .

$\frac{24 \cdot 1}{(0)!}$

Step 3.1.2.3

Multiply $24$ by $1$ .

$\frac{24}{(0)!}$

Step 3.2

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

$\frac{24}{1}$

Step 3.3

Divide $24$ by $1$ .

$24$