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The Number of Ways of Expressing t as a Binomial Coefficient

The Number of Ways of Expressing t as a Binomial Coefficient By Daniel Kane January 7, 2007 An Interesting Note: 10 is both a triangular number and a tetrahedral number. Why does this hold? Is it equal to any other binomial coefficient? Trying to produce solutions of the form

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The Number of Ways of Expressing t as a Binomial Coefficient