JEE Main & Advanced Mathematics Functions Question Bank Self Evaluation Test - Relations and Functions-I

  • question_answer
    Let \[A=\{1,2\},B=\{3,4\}.\] Then, number of subsets of \[A\times B\] is

    A) 4

    B)        8

    C) 18

    D)        16

    Correct Answer: D

    Solution :

    [d] \[n(A)=2\] and \[n(B)=2\] \[n(A\times B)=n(A)\times n(B)=2\times 2=4\] \[\therefore \] Number of subset of \[A\times B={{2}^{n(A\times B)}}\] \[={{2}^{4}}=16\]


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