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HMMT — Probability All Squares Attacked by Eight Random Knights

2600MasterCombinatoricsCounting PrinciplesProbability

Harvard-MIT Math Tournament

Eight knights are randomly placed on a chessboard (not necessarily on distinct squares). A knight on a given square attacks all the squares that can be reached by moving either (1) two squares up or down followed by one square left or right, or (2) two squares left or right followed by one square up or down. Find the probability that every square, occupied or not, is attacked by some knight.
0 students attempted0% solvedRating 2600

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