Coloring of a table with red or green rows and columns
In a table, half of the cells are red and half are green. Let's call a row or a column good if all cells in it are the same color. What is the maximal total number of good rows and columns in such a table?
The simple and obvious answer is 10. I've been trying to search for different intersections of the same color, yet 10 is still the biggest number. Can there be 11, for instance?