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RAJASTHAN ­ PET Rajasthan PET Solved Paper-2010

  • question_answer
    If\[n(A)=4\]and\[n(B)=7,\]then minimum and maximum value of\[n(A\cup B)\]are

    A)  4, 7            

    B)  7,11

    C)  4, 11            

    D)  None of these

    Correct Answer: B

    Solution :

     \[n(A\cup B)\]is minimum when\[A\le B,\]then \[n(A\cup B)=n(B)\]     \[=7\] \[n(A\cup B)\]is maximum when\[A\cap B=\phi ,\] then\[n(A\cup B)=n(A)+n(B)\] \[=4+7=11\]


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