• # 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) $m=n=68$

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.           $m=n=\left( \begin{matrix} 13 \\ 11 \\ \end{matrix} \right)=\left( \begin{matrix} 13 \\ 2 \\ \end{matrix} \right)=\frac{13\times 12}{2}=78$