JEE Main & Advanced Mathematics Sets Question Bank Relations

  • question_answer
    The number of reflexive relations of a set with four elements is equal to [UPSEAT 2004]

    A) \[{{2}^{16}}\]

    B) \[{{2}^{12}}\]

    C) \[{{2}^{8}}\]

    D) \[{{2}^{4}}\]

    Correct Answer: D

    Solution :

    Total number of reflexive relations in a set with n elements\[={{2}^{n}}\]. Therefore, total number of reflexive relation set with 4 elements\[={{2}^{4}}\].


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