Find the number of triangles which can be formed by joining the angula – InterviewSolution

1.

Find the number of triangles which can be formed by joining the angular points of a polygon of 8 sides as vertices.(A) 16(B) 56(C) 24(D) 8

Answer»

(B) 56

A triangle is obtained by joining three vertices. Number of ways of selecting 3 vertices out of 8 vertices = ⁸C₃

\(=\frac{8\times7\times6}{1\times2\times3}\) = 56

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