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JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Definition of combinations, Conditional combinations, Division into groups, Derangements

  • question_answer
    In a football championship, there were played 153 matches. Every team played one match with each other. The number of teams participating in the championship is   [WB JEE 1992; Kurukshetra CEE 1998]

    A) 17

    B) 18

    C) 9

    D) 13

    Correct Answer: B

    Solution :

    \[^{n}{{C}_{2}}=153\Rightarrow \frac{n(n-1)}{2}=153\Rightarrow n=18\].


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