JEE Main & Advanced Mathematics Sets Question Bank Mock Test - Sets

  • question_answer
    If A contains m elements and B contains n elements, then total number of distinct relations from a set A to a set B is

    A) \[mn\]               

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

    C) \[{{2}^{m}}\]             

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

    Correct Answer: D

    Solution :

    [d] As A contains m elements and B contains n elements, number of elements in A\[\times \]B is m.n the number of subsets of A\[\times \]B is \[{{2}^{mn}}\]. Every subset of A\[\times \]B is a relation from A to B. Thus, there will be \[{{2}^{mn}}\]different relations from A To B.


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