JEE Main & Advanced Sample Paper JEE Main Sample Paper-3

  • 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 \[\min n(A\cup B)=\max \{n(A),n(B)\}=\max \{3,6\}=6\]\[Maxn(A\cup B)=n(A)+n(B)=9\] \[\therefore \]\[6\le n(A\cup B)\le 9\]


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