Eight rooks are placed in distinct squares of an 8 x 8

Chapter , Problem 55

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QUESTION:

Eight rooks are placed in distinct squares of an 8 x 8 chessboard, with all possible placements being equally likely. Find the probability that all the rooks are safe from one another, i.e .. that there is no row or column with more than one rook.

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QUESTION:

Eight rooks are placed in distinct squares of an 8 x 8 chessboard, with all possible placements being equally likely. Find the probability that all the rooks are safe from one another, i.e .. that there is no row or column with more than one rook.

ANSWER:

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The probability of getting an event is obtained by dividing the possible number of favorable outcomes by the total possible number of outcomes.

 

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