JEE Main & Advanced Sample Paper JEE Main Sample Paper-32

  • question_answer
    Four students from University \[{{U}_{1}}\], one of them is Mr. A, and five students from University \[{{U}_{2}}\], one of them is Mr. B, are going to see an Inter University Cricket tournament. However, they found, that only 5 ticket remaining, so 4 of them must go back. Suppose that at least one student from each University must go to see the game, and at least one of Mr. A and Mr. B must go to see the game. Number of ways of selecting 5 students satisfying the above constraint, is equal to

    A) 126     

    B)                                    140

    C) 104        

    D)                    116

    Correct Answer: C

    Solution :

    Number of ways = Total - (when both A and B are excluded)                 \[{{=}^{9}}{{C}_{5}}{{-}^{7}}{{C}_{5}}=104\]


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