MathDB

9

Part of 2017 Turkey Team Selection Test

Problems(1)

Turkey TST 2017 P9

Source: Turkey TST 2017 P9

6/1/2017
Let SS be a set of finite number of points in the plane any 3 of which are not linear and any 4 of which are not concyclic. A coloring of all the points in SS to red and white is called discrete coloring if there exists a circle which encloses all red points and excludes all white points. Determine the number of discrete colorings for each set SS.
TurkeyTSTcombinatorics