Maths-
General
Easy

Question

There are n straight lines in a plane, no two of which are parallel, and no three pass through the same point. Their points of intersection are joined. Then the number of fresh lines thus obtained is-

  1. fraction numerator n left parenthesis n – 1 right parenthesis left parenthesis n – 2 right parenthesis over denominator 8 end fraction  
  2. fraction numerator n left parenthesis n – 1 right parenthesis left parenthesis n – 2 right parenthesis left parenthesis n – 3 right parenthesis over denominator 6 end fraction  
  3. fraction numerator n left parenthesis n – 1 right parenthesis left parenthesis n – 2 right parenthesis left parenthesis n – 3 right parenthesis over denominator 8 end fraction  
  4. None of these  

The correct answer is: fraction numerator n left parenthesis n – 1 right parenthesis left parenthesis n – 2 right parenthesis left parenthesis n – 3 right parenthesis over denominator 8 end fraction

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