# How many ways are there to choose a committee of 5 people from a group of 15 people?

##### 1 Answer

Feb 15, 2016

Since order doesn't matter in this problem, we use the combination formula.

#### Explanation:

The combination formula is:

Plugging our numbers into the formula we get:

After simplifying (very preferably with a scientific or graphing calculator), we get 3003.

So, there are 3003 ways of picking 5 people from a group of 15.

Note that the combination formula can be noted by

**Practice exercises:**

- An earthquake preparation is being prepared. 18 people apply for 3 available jobs. Find the number of distinctive ways of allotting the positions.

Good luck!