Evaluate 4 choose 5

${}_{4}C_{5}$

Step 1

Evaluate ${}_{4}C_{5}$ using the formula ${}_{n}C_{r} = \frac{n!}{(n - r)! r!}$ .

$\frac{4!}{(4 - 5)! 5!}$

Step 2

Since $r > n$ , it is impossible to select $5$ items from a total of only $4$ possible items.

$0$