Chessboard mathDiscrete Mathematics Level 4
The number of ways there are to arrange 6 identical rooks on a \(10\times 10\) board such that none of them can attack each other is \(n\). Find the product of the non-zero digits of \(n\)
Details and Assumptions
A rook is a chess piece that can only move vertically and horizontally across the board. Therefore, the rooks have to be in different rows and columns of the board as each other.