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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 including E have to be boys, the members other than E are

A
A B C Q R
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B
A D F S T
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C
B C F Q R
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D
A C D F Q
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Solution

The correct option is B A D F S T
If E is included, B cannot be included.
A and D have to be together, so include them.
We need to include only one boy now.
P cannot be included, since D and P cannot go together.
If we select C then Q have to be included.
And we cannot select either S or T. Since, S and T have to be together, so include them.
And then, include F.
Thus, the team will be A D F S T.

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