generate random binary matrix under a condition

I want to generate a matrix with values that are either zero or one, but the sum of elements in each column is <=1. To generate a random m by n matrix, we use x=randi([0,1],m,n), but what to add to force the sum of elements in each column be <=1...that is only single '1' element in each column.

Answer 1

[Brendan Hamm]

m = 5;
n = 6;

A = zeros(m,n);

for k = 1:n
    c = randi([0,m]);
    if c > 0
        A(c,k) = 1;
    end
end

Answer 2

[Andrei Bobrov]

x = zeros(5,7);
s = size(x);
x(sub2ind(s,randi([1 5],s(2),1),(1:s(2))')) = 1;