Find the number of straight lines and triangles that can be formed out – InterviewSolution

1.

Find the number of straight lines and triangles that can be formed out of 20 points of which 8 are collinear.

Answer»

Number of straight lines

= ²⁰C₂ – ⁸C₂ + 1 = 190 – 28 + 1

= 163 straight lines.

Number of triangles = ²⁰C₃ – ⁸C₃

= 1140 – 56 = 1084.

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