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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2006

  • question_answer
    Let A = {1, 2, 3, 4}, B = {2, 4, 6}. Then the number of sets C such that\[A\cap B\subseteq C\subseteq A\cup B\]is:

    A)  \[6\]                    

    B)         \[9\]

    C)  \[8\]                    

    D)         \[10\]

    E)  \[12\]

    Correct Answer: C

    Solution :

    \[A\cap B=\{2,4\}\] \[\{A\cap B\}\subseteq \{1,2,4\},\{3,2,4\},\]                 \[\{6,2,4\},\{1,3,2,4\}\]                 \[\{1,3,6,2,4\}\subseteq A\cup B\] \[\Rightarrow \]               \[n(C)=8\]          


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