1997 IMO Problems/Problem 4
Problem
An matrix whose entries come from the set
is called a
matrix if, for each
, the
th row and the
th column together contain all elements of
. Show that
(a) there is no matrix for
;
(b) matrices exist for infinitely many values of
.
Solution
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See Also
1997 IMO (Problems) • Resources | ||
Preceded by Problem 3 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 5 |
All IMO Problems and Solutions |