in a plane there are 37 straight lines, of which 13 pass through the point a and 11 pass through the point b. besides no three lines pass through one point,no line passes through both points a and b and no two are parallel.the no. of points of intersection of the straight lines.

• all lines in a plane, no line parallel, no three lines passes through same point point of intersection 37C2
  
  ii lines passes through same point A, then point of intersection decreased by 11C2 -1
  
  i3 lines passes through same point B, then point of intersection decreased by 13C2 -1
  
  so no of intersection points = 37C2 – (11C2 – 1) – (13C2 – 1)
  
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