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Fourteen points lie in a plane; exactly 6 of them are on one straight line and no other three are in a line. How many triangles have their corners at these points?

Competition practicePermutations & Combinations
  • A344
  • B364
  • C324
  • D354

Step-by-Step Solution

All triples: . Triples from the 6 collinear points make no triangle: . So .
Answer: A) 344

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