Rook Probability!

Discrete Mathematics Level pending

Eight rooks are placed randomly on different squares of a chessboard. If the probability that none of the rooks is under attack by another rook can be expressed as \(\dfrac{A}{B}\) for positive coprime integers \(A,B\), then find the value of \(A+B\).


Note: You may use a Calculator at the last step of your solution.

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