Painting a \( 7\times7\) Grid

Discrete Mathematics Level 5

You have a square grid and are given 7 different colors of paint, and are asked to use each of the colors 7 times. (i.e. paint 7 squares red, 7 squares blue, etc.)

You decide to do this in such a way that you minimize the maximum number of colors any row or column can have.

If/when you succeed, what is the maximum number of colors in any given row or column?

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