Question 42
Let $n \gt 1$ be an integer. An $n \times n$-square is divided into $n^2$ unit squares. Of these smaller squares, $n$ are coloured green and $n$ are coloured blue. All remaining squares are coloured white. Are there more such colourings for which there are no two green squares in a row, and no two blue squares in a column, or colourings for which there are neither two green squares in a row nor two blue squares in a column?