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GRE - Quantitative Reasoning - Permutations & Combinations

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 remain (more)

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?

A 6
B 24
C 56
D 120
E 462

Number of remaining candidates = 11 - 3 = 8

number of candidates to be chosen = 3

Number of ways of choosing 3 candidates from 8 = 8C3 = 8! / (3! * 5!) = 56

C is correct