JEE Main & Advanced Mathematics Sets Question Bank Relations

  • question_answer
    Let A = {1, 2, 3}. The total number of distinct relations that can be defined over A is

    A) \[{{2}^{9}}\]

    B) 6

    C) 8

    D) None of these

    Correct Answer: A

    Solution :

    \[n(A\times A)=n(A).n(A)={{3}^{2}}=9\] So, the total number of subsets of \[A\times A\] is \[{{2}^{9}}\] and a subset of \[A\times A\] is a relation over the set A.


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