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2. Let n E N. Suppose n chords are drawn in a circle in such a way that each chord intersects every other, but

2. Let n E N. Suppose n chords are drawn in a circle in such a way that each chord intersects every other,

2. Let n E N. Suppose n chords are drawn in a circle in such a way that each chord intersects every other, but no three intersect at one point. Prove that the chords cut the circle into n +n +2 regions. 2 For example, n=1:

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