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1968 AMC 12 Question 30

AMC12 · 1968 AMC 12

Question 30

Convex polygons $P_1$ and $P_2$ are drawn in the same plane with $n_1$ and $n_2$ sides, respectively, $n_1\leq n_2.$ If $P_1$ and $P_2$ do not have any line segment in common, then the maximum number of intersections of $P_1$ and $P_2$ is:
  1. $2n_1$
  2. $2n_2$
  3. $n_1n_2$
  4. $n_1+n_2$
  5. none of these