Abstract
This chapter discusses the problems connected with the chess board. It discusses the problems in which it was required to determine the number of ways of moving a chess piece from one square of the board to another. Two classical problems, those of the queens and of the knight, and a number of topics that are related to them are investigated. Some of the problems are interesting because of their close connection with the theory of sets. Others might serve as a source of research and of formulating original solutions. The chapter discusses the number of ways in which n rooks can be distributed on an n2 – board in such a way that they do not threaten each other. The rooks should be placed in different rows and different columns of the board. The problem about rooks is that it gains considerably in complexity if one becomes interested only in those solutions in which no rook is placed on the diagonal joining the lower left-hand square and the upper right-hand square.
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