Latin squares and their existence for all orders

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Health & Science mathematics discrete mathematics combinatorics Latin square

Episode 40.

Latin squares and their existence for all orders.

Definition. A Latin square of order n is a table table n by n filled with with numbers 1, ..., n such that each row and each column contains each number exactly once.
Theorem. Latin squares exist for all orders.

Mathematics. Discrete mathematics. Combinatorics.
#Mathematics #DiscreteMathematics #Combinatorics

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