Exploring Usamo 2025 Problem 4

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  • Source: 2009
  • Source: 2010
  • Source: 2002
  • What are the only positive integers 'k' for which the average of the k-th powers of the binomial coefficients is always an integer?
  • Chinese IMO team

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A 3-minute proof of 00:00 Intro 15 - 30/60 - 120 00:20 Pre-requisites for this mathematics #olympiad #math The USA Mathematical Olympiad ( mathematics #matholympiad #numbertheory #algebra #

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