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    Circle Division by Chords

    Definition

    A problem sometimes known as Moser's circle problem asks to determine the number of pieces into which a circle is divided if n points on its circumference are joined by chords with no three internally concurrent. The answer is g(n) | = | (n 4) + (n 2) + 1 | = | 1/24(n^4 - 6n^3 + 23n^2 - 18n + 24),

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