# From 8 names on a ballot, a committee of 3 will be elected to attend a political national convention. How many different committees are possible?

##### 1 Answer

#### Answer:

#### Explanation:

This is a "how many ways can you choose

The general form of the answer is "

written as:

In this case

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Another way to see this:

There are

after this there would be

and then

This would give us

But the same three people could form our 3 person committee in multiple ways. e.g. {Alice, Bob, Carol} and {Bob, Carol, Alice} should be considered as the same committee.

How many ways could 3 people be arranged among 3 sequential positions that should be treated as the same committee?

There are

Therefore the number of committees (without internal ordering) should be