randone1

randone1 - produces a random array with one 1 per row and column
randone1(N) returns a N-by-N square array with zeros and N ones,
randomly distributed so that each row and each column contains a one 1.

randone1(N,M) where M > N returns a N-by-M array with zeros and N ones,
again with one 1 per row, randomly distributed over the M columns.

Examples
randone1(4,5)
% could yield [0 1 0 0 0 ; 0 0 0 1 0 ; 0 0 0 0 1 ; 0 0 1 0 0]

See also rand, randperm, sort,
nones, randswap (File Exchange)