There are 9 ways to draw non-intersecting chords between four points on the perimeter of a circle (including no chords at all). In this case there is no way to draw three chords between the four points because two would have to intersect at one of the points or elsewhere.
Write a function to count the ways to draw non-intersecting chords between a given number of points.
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Tip: Counting is not as easy as we think. It depends on what we are counting. Counting primes up to n, for instance, is hard. However, It is easy when a pattern or formula can be found...