MATLAB: All possible combinations of 2 vectors.

combinations

Hi everyone.
I have one vector and one number. For example [1 3 5] and 0.
How do I generate all possible combinations? Like this:
 0 3 5
 1 0 5
 1 3 0
 0 0 5
 0 3 0
 1 0 0
 0 0 0

Best Answer

Here is a solution:
function H = mycomb(V)
% Help
L = length(V);
H = cell(1,L);
for ii = 1:L-1
    C = nchoosek(1:L,L-ii);
    R = cumsum(ones(size(C)));
    M = max(R(:,1));
    H{ii} = zeros(M,L);
    H{ii}(R+(C-1)*M) = V(C);
end
H{L} = zeros(1,L);
H = vertcat(H{:});
Now try it out from the command line:
>> mycomb([4 5 6])
ans =
       4     5     0
       4     0     6
       0     5     6
       4     0     0
       0     5     0
       0     0     6
       0     0     0
  >> mycomb([4 5 6 7])
ans =
       4     5     6     0
       4     5     0     7
       4     0     6     7
       0     5     6     7
       4     5     0     0
       4     0     6     0
       4     0     0     7
       0     5     6     0
       0     5     0     7
       0     0     6     7
       4     0     0     0
       0     5     0     0
       0     0     6     0
       0     0     0     7
       0     0     0     0
Related Question