JEE Main & Advanced Mathematics Sets Question Bank Critical Thinking

  • question_answer Sets A and B have 3 and 6 elements respectively. What can be the minimum number of elements in A U B [MNR 1987; Karnataka CET 1996]

    A) 3

    B) 6

    C) 9

    D) 18

    Correct Answer: B

    Solution :

    n(A È B) = n + n - n(A Ç B) = \[3+6-n(A\cap B)\] Since, maximum number of elements in \[A\cap B=3\] \[\therefore \] Minimum number of elements in \[A\cup B=9-3=6\].

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