## China Girls MO 2016/6

For discussing Olympiad Level Combinatorics problems
Thamim Zahin
Posts: 98
Joined: Wed Aug 03, 2016 5:42 pm

### China Girls MO 2016/6

Find the greatest positive integer $m$, such that one of the $4$ letters $\text{C, G, M, O}$ can be placed in each cell of a table with $m$ rows and $8$ 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.
I think we judge talent wrong. What do we see as talent? I think I have made the same mistake myself. We judge talent by the trophies on their showcases, the flamboyance the supremacy. We don't see things like determination, courage, discipline, temperament.