A transversal array is a set of 
cells in an 
square such that no two
come from the same row and no two come from the same column. The number of transversals
of an 
square is 
(
factorial).
A Latin transversal is a transversal such that no two cells contain the same element (Snevily 1999).
." Amer. Math. Monthly 106, 584-585, 1999.