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JEE Main2013MathematicsProperties of TrianglesActual

On the sides AB , BC , CA of a ABC , 3,4,5 distinct points (excluding vertices A , B , C ) are respectively chosen. The number of triangles that can be constructed using these chosen points as vertices are :

Options

  1. A210
  2. B205
  3. C215
  4. D220

Correct answer

B. 205

Step-by-step solution

Required number of triangles = ¹² C ₃- ( ^3 C ₃+ ^4 C ₃+ ^5 C ₃ )=205

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