Question

A tutor has 10 students - A, B, C, D, E, F, G, H, I and J- to form four groups for tutorials. No group can have more than four students. No two groups can have the same number of students. C and G must be in the same group. A and F must be in the same group. I should be alone and is in one group. B and E cannot be in the same group. F and E must be in different groups.

If A, D, F and J form a group, then the other two groups can be:-

Accepted Answer

C. Since group sizes must be distinct and sum to 10 (max size 4), the sizes must be 1, 2, 3, 4. - Group 1 (size 1): {I} - Group 4 (size 4): {A, D, F, J} Remaining students: B, C, E, G, H to split into sizes 2 and 3. Since C and G are together and B, E are separated, the group of 3 must be {B, C, G} and group of 2 must be {E, H}.

Grouping tutorial students

Explanation

Practise this under exam conditions