There are 5 points P₁, P₂, P₃, P₄, P₅ on the side AB, excluding A and B, of a triangle ABC. Similarly, there a…

Question

There are **$$5$$** points **$$P_1, P_2, P_3, P_4, P_5$$** on the side **$$AB$$**, excluding **$$A$$** and **$$B$$**, of a triangle **$$ABC$$**. Similarly, there are **$$6$$** points **$$P_6, P_7, \ldots, P_{11}$$** on the side **$$BC$$** and **$$7$$** points **$$P_{12}, P_{13}, \ldots, P_{18}$$** on the side **$$CA$$** of the triangle. The number of triangles that can be formed using the points **$$P_1, P_2, \ldots, P_{18}$$** as vertices is:

Accepted Answer

B. $$751$$

Answer

A. $$776$$

Answer

C. $$796$$

Answer

D. $$771$$

Answer & step-by-step solution

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