Exploring Usamo1990 Problem 5

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  • 미국수학올림피아드(
  • USA Math Olympiad 1990,
  • You can learn more about online Olympiad courses by visiting at https://www.momentumlearning.org and click on the "online" tab ...
  • Combinatorics Counting number of ways to build up subsets.
  • You can learn more about online Olympiad courses by visiting at https://www.momentumlearning.org and click on the "online" tab ...

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What are the only positive integers 'k' for which the average of the k-th powers of the binomial coefficients is always an integer?

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