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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 including P, the team has three girls, the members are

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

The correct option is A B C F Q R
D cannot go with P, so A D E S T and A D B S T is wrong.
B F R S T already has three girls in the team, if we join P we get four girls.
So, B F R S T is wrong.
Hence, B C F Q R is correct.

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