n points lie on a circle, no three chords are concurrent
Source: Greece JBMO TST 2013 p2
April 29, 2019
combinatoricscombinatorial geometrycircleChordsconcurrent
Problem Statement
Consider different points lying on a circle, such that there are not three chords defined by that point that pass through the same interior point of the circle.
a) Find the value of , if the numbers of triangles that are defined using of the n points is equal to
b) Find the value of , if the numbers of the intersection points of the chords that are interior to the circle is equal to .