Question

    There are 3 badminton players in each stream -Commerce, Science and Arts. A, B and C are from Commerce. P, Q and R are from Science. J, K and L are from Arts. A team of 4 badminton players are to be sent for a tournament with following conditions:

    (i) There must be at least one student from each stream.

    (ii) P will not go with Q or R.

    (iii) A and C will always go together.

    (iv) K and L will always go together.

    Which of the following combinations of players is a possible combination for the tournament?

    A A, C, P and J Correct Answer Incorrect Answer
    B A, Q, R and J Correct Answer Incorrect Answer
    C B, Q. J and K Correct Answer Incorrect Answer
    D B, P, R and J Correct Answer Incorrect Answer

    Solution

    Let's analyze the given conditions: (i) There must be at least one student from each stream. This means we need to select one player from each stream - Commerce, Science, and Arts. (ii) P will not go with Q or R. P cannot be in the same team as Q or R. (iii) A and C will always go together. A and C must be in the same team. (iv) K and L will always go together. K and L must be in the same team. Based on these conditions, let's analyze the options: 1. A, C, P, and J This satisfies all conditions. A and C are together, P is not with Q or R, and J represents Arts. 2. A, Q, R, and J This violates condition (ii) because P cannot go with Q or R. 3. B, Q, J, and K This doesn't satisfy condition (i) because there's no player from the Commerce stream. 4. B, P, R, and J This violates condition (iii) because A and C must always go together. So, the only possible combination is option 1: A, C, P, and J.

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