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JEE Main & Advanced JEE Main Paper (Held on 12-4-2019 Afternoon)

  • question_answer
    A group of students comprises of 5 boys and n girls. If the number of ways, in which a team of 3 students can randomly be selected from this group such that there is at least one boy and at least one girl in each team, is 1750, then n is equal to: [JEE Main 12-4-2019 Afternoon]

    A) 25       

    B) 28

    C) 27                               

    D) 24

    Correct Answer: A

    Solution :

    \[^{5}{{C}_{1}}{{.}^{n}}{{C}_{2}}+{}^{5}{{C}_{2}}{{.}^{n}}{{C}_{1}}=1750\] \[{{n}^{2}}+3n=700\] \[\therefore \] n = 25               


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