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JEE Main & Advanced Sample Paper JEE Main Sample Paper-36

  • question_answer
    A set \[A\] has \[3\] elements and another set \[B\] has \[6\] elements. Then

    A) \[3\le n(A\cup B)\le 6\]

    B) \[3\le n(A\cup B)\le 9\]

    C) \[6\le n(A\cup B)\le 9\]

    D) \[0\le n(A\cup B)\le 9\]

    Correct Answer: C

    Solution :

     We have\[\min n(A\cup B)=\max \{n(A),\,\,n(B)\}=\max \{3,\,\,6\}=6\]\[\text{Max}\,\,n(A\cup B)=n(A)+n(B)=9\] \[\therefore \]\[6\le n(A\cup B)\le 9\]


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