JEE Main & Advanced JEE Main Paper (Held on 09-4-2019 Morning)

  • question_answer A committee of 11 members is to be formed from 8 males and 5 females. If m is the number of ways the committee is formed with at least 6 males and n is the number of ways the committee is formed with at least 3 females, then : [JEE Main 9-4-2019 Morning]

    A) \[m=n=78\]   

    B) \[n=m8\]

    C) \[m+n=68\]               

    D) \[m=n=68\]

    Correct Answer: A

    Solution :

    Since there are 8 males and 5 females. Out of these 13, if we select 11 persons, then there will be at least 6 males and at least 3 females in the selection.           \[m=n=\left( \begin{matrix}    13  \\    11  \\ \end{matrix} \right)=\left( \begin{matrix}    13  \\    2  \\ \end{matrix} \right)=\frac{13\times 12}{2}=78\]       


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