Question 11
In an infinite grid, each unit square is coloured either white or grey. If squares $X$ and $Y$ are located in the same row while squares $Y$ and $Z$ are located in the same column such that squares $X$ and $Z$ are white and square $Y$ is grey, then the ordered triple $(X,Y,Z)$ is called an “IMC triangle”. For example, as shown in the grid below, $(X,Y,Z)$ is an IMC triangle.
What is the maximum possible number of “IMC triangles” that can be found on a $15\times15$ grid?
What is the maximum possible number of “IMC triangles” that can be found on a $15\times15$ grid?