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Mathematics, 18.03.2021 02:50 Pattondestiny

Let S be a set of 8 points in the plane. Call a circle abundant if it passes through at least 4 points of S.
(a) Show that there can be at most 14 abundant circles.
(b) Can there be 14 abundant circles? If not, what is the maximum number possible?

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Let S be a set of 8 points in the plane. Call a circle abundant if it passes through at least 4 poin...
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