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A particular instance of a generalized statement. A counter-example will disprove a generalized claim, but examples do not provide proof. For example, the number of chords created by joining n distinct points in a circle is 1, 2, 4, 8, 16 for n=1, 2, 3, 4, 5 which are in the form 2n−1 but for n=6, there are 31 chords produced, so the general expression cannot be 2n−1. In fact it requires a quartic expression.

Subjects: Mathematics.

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