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

  • 1120
  • 2116
  • 3140
  • 420
Answer:- 1
Explanation:-

Solution:
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.

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