There are 15 points in a plane, no two of which are in a straight line except 4, all of which are in a straight line. The number of triangles that can be formed by using these 15 points is

There are 15 points in a plane, no two of which are in a straight line except 4, all of which are in a straight line. The number of triangles that can be formed by using these 15 points is

  1. A

    404

  2. B

    415

  3. C

    451

  4. D

    490

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    Solution:

    The required number of triangle is

     15C34C3=4554=451

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