A team of four men is to be selected from amongst seven men A, B, C, D, E, F…
2021
A team of four men is to be selected from amongst seven men A, B, C, D, E, F and G. A and B have to be selected together. D and F have to be selected together. C cannot be selected with E. F cannot be selected with G. Which of the following team of four men is possible?
- A.
A, B, C and E
- B.
A, B, C and D
- C.
A, B, D and F
- D.
A, B, D and G
Attempted by 29 students.
Show answer & explanation
Correct answer: C
Check each condition. A and B must appear together, and D and F must appear together. Also, C cannot be selected with E, and F cannot be selected with G. Option 1, A, B, C and E, is invalid because C and E are together. Option 2, A, B, C and D, is invalid because D is selected without F. Option 3, A, B, D and F, satisfies both compulsory pairs and does not violate either restriction. Option 4, A, B, D and G, is invalid because D is selected without F. Therefore, the possible team is A, B, D and F.