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Hard Level Question 32 – answer, explanation & discussion

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Question 32 Back to Exercise

5 points are marked on one line and 6 points on a parallel line. How many triangles have their vertices among these 11 points?

  • A 135 Correct
  • B 165
  • C 150
  • D 120
Correct Answer: Option A

All triples: 11C3 = 165

Collinear triples: 5C3 + 6C3 = 10 + 20 = 30

165 − 30 = 135

Answer: 135

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