Question

Eight rooks are placed on a chessboard at random. Ten squares on the chessboard are marked....

Eight rooks are placed on a chessboard at random. Ten squares on the chessboard are marked.
What is the probability that they are all in marked places?

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Answer #1

total number of small squares = 64

No of ways 8 rooks are placed in the chess board = 64C8

No of ways 8 rooks are placed on the marked places of the chess board = 10C8

So, Desired probability = 10C8 / 64C8 = 1.016e-08

** If the answer does not match please comment.

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