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Joining points with chords to divide a circle into regions[/caption] If there are two distinct points on the circumference of a circle, a chord drawn between these two points will divide the circle into 2 regions. If there are three points joined by three chords the circle will be divided into 4 regions. Similarly four points joined by six chords produces 8 regions and five points produce 16 regions. How many regions will be produced by six points joined by fifteen chords? The answer is not the obvious one!
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