Maximum Number of Intersections on Circles
Let’s consider the maximum number of intersections between circles:
2 different circles have 2 points of intersections.
3 different circles have 6 points of intersections.
4 different circles have 12 points of intersections.
Having said that, what is the maximum possible number of points of intersections of 10 different circles?
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1 solution
In general, for n different circles there are n(n-1) intersections. The proof is irrelevant and is left as an exercise for the reader.