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 coditions :

(i) A and D have to be together.

(ii) C cannot go with S.

(iii) S and T have to be together.

(iv) B cannot be teamed with E.

(v) D cannot go with P.

(vi) B and R have to be together.

(vii) C and Q have to be together.

If four members have to be girls, the members of the team are

• A. B C P Q R S
• B. B F P R S T
• C. B C Q R S T
• D. B C P Q R T

Answer 1

The correct option is B B F P R S T

S and T have to be together.

So, we can include the group of girls as P Q S T, P R S T or Q R S T.

If we select either of the P Q S T, Q R S T.

So, we have to include C and C cannot go with S.

Thus, we select the group of four girls as P R S T.

B and R have to be together, so include B.

We now need only one boy.

We cannot include A, since A and D have to be together.

We cannot include D and E.

Since D cannot go with P and B cannot teamed with E.

So, we select F.

Thus, the team becomes B F P R S T.