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1989 IMO Problems/Problem 1

Revision as of 23:01, 16 March 2020 by KRIS17 (talk | contribs) (Created page with "Prove that in the set <math> \{1,2, \ldots, 1989\}</math> can be expressed as the disjoint union of subsets <math> A_i, \{i = 1,2, \ldots, 117\}</math> such that i.) each <ma...")
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Prove that in the set $\{1,2, \ldots, 1989\}$ can be expressed as the disjoint union of subsets $A_i, \{i = 1,2, \ldots, 117\}$ such that

i.) each $A_i$ contains 17 elements

ii.) the sum of all the elements in each $A_i$ is the same.

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