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JEE Main & Advanced Mathematics Sets Question Bank Self Evaluation Test - Sets

  • question_answer
    Given \[n(U)=20,n(A)=12,n(B)=9,n(A\cap B)=4,\]where U is the universal set, A and B are subsets of U, then \[n({{(A\cup B)}^{c}})=\]

    A) 17

    B)                                9

    C) 11

    D)                                3

    Correct Answer: D

    Solution :

    [d]\[n(A\cup B)=n(A)+n(B)-n(A\cap B)\] \[=12+9-4=17\] Now, \[n({{(A\cup B)}^{c}})=n(U)-n(A\cup B)\] \[=20-17=3\]


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