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1976 AMC 12 Question 28

AMC12 · 1976 AMC 12

Question 28

Lines $L_1,$ $L_2,$ $\ldots,$ $L_{100}$ are distinct. All lines $L_{4n},$ $n$ a positive integer, are parallel to each other. All lines $L_{4n-3},$ $n$ a positive integer, pass through a given point $A.$ The maximum number of points of intersection of pairs of lines from the complete set $\{L_1,L_2,\ldots,L_{100}\}$ is
  1. $4350$
  2. $4351$
  3. $4900$
  4. $4901$
  5. $9851$