Latin Square Problem
A Latin square is a square with n rows
and n columns, and each cell contains an integer 1 to
n such that each row and each column have distinct
Example of a Latin square
Part 1. How many 3×3 Latin squares are there? You can use the interactive Latin square designer to help you.
Part 2. How many 4×4 Latin squares
Part 3. Devise a formula L(n) for the number of n×n Latin squares. This is one of the unsolved problems of mathematics since the formula is not known yet. The number of n×n Latin squares is known to increase very fast, in fact L(n) is larger than
Solution - none exists yet!
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