Given points in the plane such that no three of the points are collinear. Does there exist a circle passing through (at least) of the given points and not containing any other of the points in its interior ?
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Given $n>3$ points in the plane such that no three of the points are collinear. Does there exist a circle passing through (at least) $3$ of the given points and not containing any other of the $n$ points in its interior ?
Izvor: Međunarodna matematička olimpijada, shortlist 1966
Školjka 
points in the plane such that no three of the points are collinear. Does there exist a circle passing through (at least) 
of the given points and not containing any other of the 
points in its interior ?