Consider n 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 n, if the numbers of triangles that are defined using 3 of the n points is equal to 2n
b) Find the value of n, if the numbers of the intersection points of the chords that are interior to the circle is equal to 5n. combinatoricscombinatorial geometrycircleChordsconcurrent