JEE Main & Advanced Mathematics Sets Question Bank Set theory

  • question_answer
    If A and B are disjoint, then \[n(A\cup B)\] is equal to

    A) \[n(A)\]

    B) \[n(B)\]

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

    D) \[n(A)\,.\,n(B)\]

    Correct Answer: C

    Solution :

    Since A and B are disjoint,  \\[A\cap B=\varphi \] \[n(A\cap B)=0\] Now \[n\,(A\cup B)=n(A)+n(B)-n(A\cap B)\]                        \[=n(A)+n(B)-0\]\[=n(A)+n(B)\].


You need to login to perform this action.
You will be redirected in 3 sec spinner