Graeco-Latin square

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The notion of a Latin square can be extended to involve two sets of symbols. Suppose that one set of symbols consists of Roman letters and the other of Greek letters. A Graeco-Latin square is a square array in which each position contains one Roman letter and one Greek letter, such that the Roman letters form a Latin square, the Greek letters form a Latin square, and each Roman letter occurs with each Greek letter exactly once. An example of a 3× 3 Graeco-Latin square is the following:Such squares are used in the design of experiments.

Subjects: Mathematics.

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