# How many ways can you select a committee of five members from a group of 10 people?

Mar 24, 2018

There are $252$ ways to select a committee of five members from a group of $10$ people.

#### Explanation:

The number of ways to select $b$ people from a total of $a$ people is (a!)/(b!*(a-b)!.

Plugging in $10$ for $a$ and $5$ for $b$:
P = (10!)/(5!(10-5)!)
P = 3628800/(120*5!)
$P = \frac{3628800}{14400}$
$P = 252$