Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side.
The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e no three points in P lie on a line) is
and minimum = 3
similarly for 5 points
Max = 5, Min = 3
for 19
max= 19 Min = 3
Detail solution by site admin at is below
http://www.m4maths.com/448-given-a-collection-of-points-P-in-a-plane-a-1-set-is-a-point-in-P-that-can-be-separated.html
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