combinatorics - How many different ways can we place 4 identical rooks on the following chess board - Mathematics Stack Exchange

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How many different ways can we place 4 identical rooks on the following chess board so that no two of them attack each other? I know when the board is $n \times n$ and we have $n$ towers then the
combinatorics - How many different ways can we place 4 identical rooks on  the following chess board - Mathematics Stack Exchange
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combinatorics - How many different ways can we place 4 identical rooks on  the following chess board - Mathematics Stack Exchange
We placed a white or black pawn on each square of the 4 × 4 chessboard in such a way that in each column and each row, there are two black and
combinatorics - How many different ways can we place 4 identical rooks on  the following chess board - Mathematics Stack Exchange
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combinatorics - How many different ways can we place 4 identical rooks on  the following chess board - Mathematics Stack Exchange
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combinatorics - How many different ways can we place 4 identical rooks on  the following chess board - Mathematics Stack Exchange
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combinatorics - How many different ways can we place 4 identical rooks on  the following chess board - Mathematics Stack Exchange
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combinatorics - How many different ways can we place 4 identical rooks on  the following chess board - Mathematics Stack Exchange
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combinatorics - How many different ways can we place 4 identical rooks on  the following chess board - Mathematics Stack Exchange
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combinatorics - How many different ways can we place 4 identical rooks on  the following chess board - Mathematics Stack Exchange
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combinatorics - How many different ways can we place 4 identical rooks on  the following chess board - Mathematics Stack Exchange
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