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.
%V0
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.
Školjka