# How many different two-person teams can be made from 6 people?

##### 1 Answer

A 2 person team can be chosen in one of fifteen ways.

#### Explanation:

The question is not precise because if you treated it literally the answer would be 3. First you choose one team, 4 people are left in the group, the second team takes another 2 people and the remaining create the third team.

But I assume that the question is like "In how many ways a 2 people team can be chosen from 6 people?"

Such question has an answer

There is also another way of calculating the number. A team of 2 chosen from six people is (in mathematics) **a 2 element combination of a six element set**.

The number of such combinations can be calculated as: