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

  • question_answer
    In how many ways can a committee consisting of one or more members be formed out of 12 members of the Municipal Corporation

    A) 4095

    B) 5095

    C) 4905

    D) 4090

    Correct Answer: A

    Solution :

      Required number of ways \[{{=}^{12}}{{C}_{1}}{{+}^{12}}{{C}_{2}}{{+}^{12}}{{C}_{3}}+.......{{+}^{12}}{{C}_{12}}={{2}^{12}}-1\] \[=4096-1=4095\].


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