JEE Main & Advanced Mathematics Sets Question Bank Relations

  • question_answer
    Let n = n. Then the number of all relations on A is

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

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

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

    D) None of these

    Correct Answer: C

    Solution :

    Number of relations on the set \[A=\]Number of subsets of\[A\times A={{2}^{{{n}^{2}}}}\], \[[\because n(A\times A)={{n}^{2}}]\].


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