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JEE Main & Advanced Mathematics Sets Question Bank Critical Thinking

  • question_answer
    Let A = {1, 2, 3, 4, 5}; B = {2, 3, 6, 7}. Then the number of elements in \[\left( A\text{ }~\times \text{ }B \right)\text{ }\cap \text{ }\left( B\text{ }\times \text{ }A \right)\] is

    A) 18

    B) 6

    C) 4

    D) 0

    Correct Answer: C

    Solution :

    Here A and B sets having 2 elements in common, so \[A\times B\] and \[B\times A\] have \[{{2}^{2}}\] i.e., 4 elements in common. Hence, \[n\,[(A\times B)\cap (B\times A)]=4\].


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