Multiple Choice Questions on Find the number of ways in which mixed double tennis game can be arranged amongst 9 married couples ........... for Civil Services Exam (CSAT) Preparation

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Math and Mental Ability Civil Services Exam (CSAT)

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Study Notes

    Find the number of ways in which mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in the same game.

    1515 ways 

    Incorrect Answer

    1500 ways 

    Incorrect Answer

    1512 ways 

    Correct Answer

    1550 ways 

    Incorrect Answer

    None of these

    Incorrect Answer
    Explanation:

    Let the husbands be h1, h2, h3…….h9 and wives be w1, w2, w3…….w9 Choosing 2 husband=9C2=36

    Choosing 2 wives = 7C2 =21 (Here we should have taken 9C2, but as per the question no husband and wife can play in the same game, so we eliminated 2 wives of chosen husbands)

    We know that in mixed double game, it is played as m1w1 vs m2w2.

    So, out of 36 men and 21 women two arrangement is possible, either m1w1 vs m2w2 or m2w1 vs m1w2.

    Therefore, total ways = 36 × 21 × 2 = 1512 ways

    Hence, option (C) is correct.


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