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JEE Main & Advanced Mathematics Sets Question Bank Relations

  • question_answer
    Given two finite sets A  and B  such that n = 2, n = 3. Then total number of relations from A to B is

    A) 4

    B) 8

    C) 64

    D) None of these

    Correct Answer: C

    Solution :

    Here \[n(A\times B)\] = 2 × 3 = 6 Since every subset of A × B defines a relation from A to B, number of relation from A to B is equal to number of subsets of \[A\times B={{2}^{6}}=64\].


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