JEE Main & Advanced Mathematics Sets Question Bank Set theory

  • question_answer
    If a set A has n  elements, then the total number of subsets of A  is [Roorkee 1991; Karnataka CET 1992,  2000]

    A) n

    B) \[{{n}^{2}}\]

    C) \[{{2}^{n}}\]

    D) \[2n\]

    Correct Answer: C

    Solution :

    Number of subsets of \[A{{=}^{n}}{{C}_{0}}{{+}^{n}}{{C}_{1}}+.........{{+}^{n}}{{C}_{n}}={{2}^{n}}\].


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