There are 10 points in a plane out of which 4 are collinear. Find the number of triangles formed by the points as vertices.

A. 120

B. 116

C. 140

D. 20

Answer: Option B

Solution(By Examveda Team)

The number of triangle can be formed by 10 points = ¹⁰C₃
Similarly, the number of triangle can be formed by 4 points when no one is collinear = ⁴C₃
In the question, given 4 points are collinear, Thus, required number of triangle can be formed,
= ¹⁰C₃ - ⁴C₃
= 120 - 4
= 116