A hockey coach is trying to put together a team of 4 players for the forthcoming tournament. For this, 7 players are available. Males P, Q and R and females S, T, U and Z. All players have equal capability and at least 2 males will be there in the team. For a team of 4, all players must be able to play with each other. But, Q cannot play with S, R cannot play with Z and S.
If U is selected and Q is rejected, then the team will consist of which one of the following groups?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → P, R, T and U
Start from the players whose place is forced and apply the “cannot play with” conditions one by one.
Q is rejected, so the only males left are P and R. The team needs at least 2 males, so both P and R are selected.
R cannot play with Z or S, so Z and S are left out.
U is selected. Of the females, only T is left for the fourth place, so the team is P, R, T and U.
Options (1) and (4) contain S, and Option (3) contains Z with R, so they break the conditions.