1988 IMO Problems/Problem 2
Problem
Let be a positive integer and let
be subsets of a set
.
Suppose that
(a) Each has exactly
elements,
(b) Each
contains exactly one element, and
(c) Every element of belongs to at least two of the
.
For which values of can one assign to every element of
one of the numbers
and
in such a way that
has
assigned to exactly
of its elements?
Solution
Alternate solutions are always welcome. If you have a different, elegant solution to this problem, please add it to this page.
See Also
1988 IMO (Problems) • Resources | ||
Preceded by Problem 1 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 3 |
All IMO Problems and Solutions |