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Chess board to random permutations

There are 64! (sixty four factorial) possible permutations of all the squares on an 8x8 chessboard. This picks one at random each time. Only 64C32 (sixty four choose thirty two) are distinguishable (since each black square is indistinguishable, etc) but that's still more than 10^18 options. Over a billion billion, or a quintillion. Probably no-one has seen that particular one before, ever, nor will they ever again.