JEE Main & Advanced AIEEE Paper (Held On 11 May 2011)

  • question_answer
    There are 10 points in a plane, out of these 6 are collinear. If N is the number of triangles formed by joining these points, then     AIEEE  Solved  Paper (Held On 11 May  2011)

    A) \[N\le 100\]

    B) \[100<N\le 140\]

    C) \[140<N\le 190\]

    D) \[N>190\]

    Correct Answer: A

    Solution :

                                    \[^{10}{{C}_{3}}{{-}^{6}}{{C}_{3}}\]                 \[=\frac{10\times 9\times 8}{6}-\frac{6\times 5\times 4}{6}=120-20=100\]

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