Difference between revisions of "1989 IMO Problems/Problem 1"
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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 | 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 | ||
Revision as of 23:05, 16 March 2020
Problem
Prove that in the set 
can be expressed as the disjoint union of subsets 
such that
i.) each 
contains 17 elements
ii.) the sum of all the elements in each is the same.
