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?
Solution: 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.