JEE Main & Advanced Mathematics Sets Question Bank Set theory

  • question_answer
    If \[n(A)=4\], \[n(B)=3\], \[n(A\times B\times C)=24\], then \[n(C)=\]  [Kerala (Engg.) 2005]

    A) 288

    B) 1

    C) 12

    D) 17

    E) 2

    Correct Answer: E

    Solution :

    \[n(A)=4\], \[n(B)=3\] \[n(A)\times n(B)\times n(C)=n(A\times B\times C)\] \[4\times 3\times n(C)=24\] Þ \[n(C)=\frac{24}{12}=2\].


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