Finite Math Examples

${}_{40}C_{0}$

Step 1

Evaluate ${}_{40}C_{0}$ using the formula ${}_{n}C_{r} = \frac{n!}{(n - r)! r!}$ .

$\frac{40!}{(40 + 0)! 0!}$

Step 2

Add $40$ and $0$ .

$\frac{40!}{(40)! 0!}$

Step 3

Simplify $\frac{40!}{(40)! 0!}$ .

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Step 3.1

Cancel the common factor of $40!$ .

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Step 3.1.1

Cancel the common factor.

$\frac{40!}{(40)! 0!}$

Step 3.1.2

Rewrite the expression.

$\frac{1}{0!}$

Step 3.2

Expand $0!$ to $1$ .

$\frac{1}{1}$

Step 3.3

Divide $1$ by $1$ .

$1$