How many ways can 8 *identical* \(\color {blue}{Rooks}\) be placed on a chessboard if each row must contain a \(\color {blue}{Rook}\), and that any given column may have 2 \(\color {blue}{Rooks}\) at most?

**Details and Assumptions**

**For these purposes, the amount of \(\color {blue}{Rooks}\) in a column is all that matters in an arrangement.**

*For example, the sample arrangement (\(R\) represents a \(\color {blue}{Rook}\)):

*is the same as the sample arrangement:*

- Rows are from \(Left\) to \(Right\).
- Columns are form \(Top\) to \(Bottom\).

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