If the sides AB, BC and CA


If the sides $A B, B C$ and $C A$ of a triangle $A B C$ have 3,5 and 6 interior points respectively, then the total number of triangles that can be constructed using these points as vertices, is equal to :

  1. 364

  2. 240

  3. 333

  4. 360

Correct Option: , 3


Total Number of triangles formed

$={ }^{14} \mathrm{C}_{3}-{ }^{3} \mathrm{C}_{3}-{ }^{5} \mathrm{C}_{3}-{ }^{6} \mathrm{C}_{3}$


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