temp = [ones(m,q), zeros(m,k), round(rand(m,n-k-q))];
Now you can randomize the order within each row of temp
[~, idx] = sort( rand(m,n), 2);
sex = temp(sub2ind(size(temp), ndgrid(1:m,1:n), idx));
However: neither sex nor gender are binary. There are over a dozen intersex conditions; the wider field is Disorders of Sexual Development; and see http://www.joshuakennon.com/the-six-common-biological-sexes-in-humans/. There at least 19 catalogued genders; New York City recognizes 31 gender identities
