## GRE - Quantitative Reasoning - Permutations & Combinations

LEAP Administrator
10 months ago
**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

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 = ^{8}C_{3} = 8! / (3! * 5!) = 56

C is correct