Finite Math Examples

${}_{2}C_{10}$

Step 1

Evaluate ${}_{2}C_{10}$ using the formula ${}_{n}C_{r} = \frac{n!}{(n - r)! r!}$ .

$\frac{2!}{(2 - 10)! 10!}$

Step 2

Since $r > n$ , it is impossible to select $10$ items from a total of only $2$ possible items.

$0$