Eight rooks are placed on a chess board at random. Ten squares on the chessboard are marked. What is the probability that they are all in marked places?
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Step 1: Calculate the total number of ways to place 8 rooks on the chessboard, which is 64 C 8. Show more…
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Eight rooks are placed randomly on a chess board. What is the probability that none of the rooks can capture any of the other rooks? (In non-chess terms: Randomly pick 8 unit squares from an 8 ! 8 square grid. What is the probability that no two squares share a row or a column?) Hint: How many choices do you have to place rooks in the first row? After you have made your choice, how many choices do you have for the second? Continue this reasoning.
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