Data Management: placing rooks so they can't attack each other

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starsharu

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A rook is a chess piece that attacks other pieces by moving horizontally or vertically. How many ways [5] can you place n > 0 rooks on a chessboard so that no two attack each other, if (a) all the rooks are identical? (b) you have 4 wooden and 4 marble rooks? (c) all the rooks are different?
I'm stuck on this question for days now.
 
starsharu said:
A rook is a chess piece that attacks other pieces by moving horizontally or vertically. How many ways [5] can you place n > 0 rooks on a chessboard so that no two attack each other, if (a) all the rooks are identical? (b) you have 4 wooden and 4 marble rooks? (c) all the rooks are different?
I'm stuck on this question for days now.
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Since a rook must move from a black to a white square [or from a white to a black], you can put a rook on all the black [or all the white] squares and they can't attack each other.
 
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