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A permutation of ... can be made to correspond to placing ... mutually non-attacking rooks on an ... chessboard: if the permutation is ... , place the ... rook on the ... rank and ... file. (Thinking of a chessboard as a matrix, rank and file mean row and column.) A derangement is a permutation where no element stays in its original position; it corresponds to placing the rooks on the board with the added requirement that the squares on the main diagonal are forbidden. Two other forbidden position problems are illustrated: avoiding the main diagonal and the diagonal just above it, and avoiding the main tridiagonal. In this Demonstration a chessboard consists of white squares, and black squares indicate forbidden positions.

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      EUN,LOM,LRE4,work-cmr-id:397041,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/PermutationsDerangementsAndOtherForbiddenPositionProblemsUsi/,ilox,learning resource exchange,LRE metadata application profile,LRE

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