Finite Math Examples

${}_{10}C_{10}$

Step 1

Evaluate ${}_{10}C_{10}$ using the formula ${}_{n}C_{r} = \frac{n!}{(n - r)! r!}$ .

$\frac{10!}{(10 - 10)! 10!}$

Step 2

Subtract $10$ from $10$ .

$\frac{10!}{(0)! 10!}$

Step 3

Simplify $\frac{10!}{(0)! 10!}$ .

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Step 3.1

Cancel the common factor of $10!$ .

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Step 3.1.1

Cancel the common factor.

$\frac{10!}{(0)! 10!}$

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 $1$ .

$1$