JEE Main & Advanced Mathematics Sets Question Bank Set theory

  • question_answer
    If A and B are not disjoint sets, then \[n(A\cup B)\] is equal to [Kerala (Engg.)  2001]

    A) \[n(A)+n(B)\]

    B) \[n(A)+n(B)-n(A\cap B)\]

    C) \[n(A)+n(B)+n(A\cap B)\]

    D) \[n(A)\,n(B)\]   \[n(A)-n(B)\]

    Correct Answer: B

    Solution :

    \[n(A\cup B)=n(A)+n\,(B)-n(A\cap B)\].


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