A manager is forming a 6-person team to work on a certain project. From the 11 candidates available for the team, the manager has already chosen 3 to be on the team. In selecting the other 3 team members, how many different combinations of 3 of the remaining candidates does the manager have to choose from?
Answer: 56
Explanation
The manager has to form a 6-person team. There are 11 candidates available.
But he has already chosen 3.
So from the remaining 8 we have to select 3 which can be done in 8C3 ways.