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How many ways are there to place 8 rooks on an 8 x 8 chessboard so that no two attack each other if 3 are

How many ways are there to place 8 rooks on an 8 x 8 chessboard so that no two attack each other if 3 are made of wood, 2 are made of glass, 2 are made of metal, and 1 is made of plastic. Assume that two rooks made of the same material are indistinguishable.

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