China Girls MO 2016/6

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

China Girls MO 2016/6

Unread post by Thamim Zahin » Tue Apr 18, 2017 7:06 pm

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.

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