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We can permute 8 pieces in 8! =40320 ways. But we have some conditions: Two knights are identical. There must be opposite colour bishops. Rooks are identical. King must be between the rooks. Now in 8 boxes there are 4 black boxes and 4 white boxes. We can place the black bishop in one of the 4 black boxes which can be done in 4 ways. Similarly the position ...


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