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Previous Year Question (PYQs)



There are 10 points, out of which 6 are collinear. Number of triangles formed:





Solution

Total triangles from 10 points: $\binom{10}{3} = 120$ 
Invalid triangles from 6 collinear points: $\binom{6}{3} = 20$ 
 So valid triangles = $120 - 20 = 100$


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