Question

From amongst six boys A, B, C, D, E and F and five girls P, Q, R, S and T, a team of six is to be selected under the following conditions:

A and D have to be together
B can't be teamed with E
C and Q have to be together
D can't go with P
C can't go with S
B and R have to be together
S and T have to be together
If the team including C consists of four boys, the members of the team other than C are:

1. DEFAQ
2. BEFRQ
3. ADEPQ
4. ABDQR

Answer 1

The members of the team other than C are ABDR.

Step-by-step explanation:

The members of the team other than C can be calculated by following the given conditions:

1. A and D have to be together, so we can treat A and D as one entity.
2. B can't be teamed with E.
3. C and Q have to be together, so we can treat C and Q as one entity.
4. S and T have to be together, so we can treat S and T as one entity.

Now, we can treat AB, CQ, ST as single entities. Therefore, the remaining possibilities are DEFA, BER, ADPQ, ABD, and R. Since the team consists of four boys including C, the remaining members of the team other than C are:

ABDR