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Q: In a plane 8 points are colliner  out of 12 points, then the number of triangles we get with those 12 points is

  • 1
    20
  • 2
    160
  • 3
    164
  • 4
    220
  • Show Answer
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Answer : 3. "164"
Explanation :

Answer: C) 164 Explanation: For a triangle, we need 3 non-collinear points. So with 12 points (when all the 12 are such that any three non-collinear is12C3. But among them 8 points are collinear.   If all these 8 points are different we get 8C3 triangles as they are collinear.   In 12C3 triangles, we do not get 8C3 triangles   Therefore, The number of triangles we get = 12C3-8C3 = 164

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