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Problems
Contests
National and Regional Contests
China Contests
China Girls Math Olympiad
2016 China Girls Math Olympiad
6
6
Part of
2016 China Girls Math Olympiad
Problems
(1)
Letters in grid
Source: CGMO 2016 Q6
8/14/2016
Find the greatest positive integer
m
m
m
, such that one of the
4
4
4
letters
C
,
G
,
M
,
O
C,G,M,O
C
,
G
,
M
,
O
can be placed in each cell of a table with
m
m
m
rows and
8
8
8
columns, and has the following property: For any two distinct rows in the table, there exists at most one column, such that the entries of these two rows in such a column are the same letter.
combinatorics