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

  • question_answer
    There are 12 volleyball players in all in a college, out of which a team of 9 players is to be formed. If the captain always remains the same, then in how many ways can the team be formed

    A) 36

    B) 108

    C) 99

    D) 165

    Correct Answer: D

    Solution :

    Required number of ways = \[^{11}{{C}_{8}}=165\]. {Since, captain already be chosen, so now from 11 players 8 are to be chosen}.


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