A Connect Four game set contains a 6×7 grid, 21 blue chips, and 21 yellow chips. Is there a way to arrange all the chips on the grid so that there are no four consecutive chips of the same colour horizontally, vertically, and diagonally?
In how many ways can you do this? (Unsolved)
Is there a way to arrange all the chips on the grid so that there are no three consecutive chips of hte same colour horizontally, vertically, and diagonally?
What if the grid size is different? (splitting evenly into blue and yellow chips)