MATLAB: How to obtain all possible combinations of given values in vector

combinationsMATLAB

I want to obtain all possible combinations of valies of given vector . If V=[v1 v2 … vr] where r= length(V) then
      Allcom=[0 0 0 … 0 ]
              0 0 0 .. 1 ;
              ………… ;
              0  0  …vr ;
              … ……… ;
             v1 v2 … vr]
For example, to generate the following vector V=[1 2] and r=2.
        Allcom=[0 0 ;
                0 1 ;
                0 2 ;
                1 0 ;
                1 1 ;
                1 2]

Best Answer

v =[2 4 8 3];  %for example
c = arrayfun(@(x) 0:x, v, 'UniformOutput', false);
[c{:}] = ndgrid(c{:});
allcombs = cell2mat(cellfun(@(x) x(:), c, 'UniformOutput', false))  %optionally wrapped in sortrows
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