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JEE Main & Advanced JEE Main Paper (Held On 09-Jan-2019 Morning)

  • question_answer
    Consider a class of 5 girls and 7 boys. The number of different teams consisting of 2 girls and 3 boys that can be formed from this class, if there are two specific boys A and B, who refuse to be the members of the same team, is: [JEE Main Online Paper (Held On 09-Jan-2019 Morning]

    A) 300            

    B) 500

    C) 200

    D) 350

    Correct Answer: A

    Solution :

    2 girls 3 boys Boys
    A B
    3 5
    A B
    5 3
    A B
    5 5
    \[\left. \begin{align}   & ^{5}{{C}_{2}}\,\times \,{{\,}^{5}}{{C}_{2}}\,=\,\,10\,\,\times \,\,10\, \\  & ^{5}{{C}_{2}}\,\times {{\,}^{5}}{{C}_{2}}\,\,=\,\,10\,\,\times \,\,10 \\  & ^{5}{{C}_{3}}\,\times {{\,}^{5}}{{C}_{2}}\,=\,\,10\,\,\times \,\,10 \\ \end{align} \right\}300\]


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