SSC Quantitative Aptitude Number System and its Operations Question Bank Set Theory (II)

  • question_answer
    What is the number of proper subsets of a given finite set with n elements?

    A) \[2n-1\]

    B) \[2n-2\]

    C) \[{{2}^{n}}-1\]

    D) \[{{2}^{n}}-2\]

    Correct Answer: C

    Solution :

    [c] Total number of subsets\[={{2}^{n}}\] \[\therefore \]Number of proper subsets \[={{2}^{n}}-1\]


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