Question:
If the sides $\mathrm{AB}, \mathrm{BC}$ and $\mathrm{CA}$ of a triangle $\mathrm{ABC}$ 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 :
Correct Option: , 3
Solution:
Total Number of triangles formed $={ }^{14} \mathrm{C}_{3}-{ }^{3} \mathrm{C}_{3}-{ }^{5} \mathrm{C}_{3}-{ }^{6} \mathrm{C}_{3}$
$=333$
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