All possible Permutations for vector

Hi,

I want to create a permutation starting from a vector. For example:

V=[3 3 5]

I want every possible permutation considering values lower or equal to that of the each column, so that the first column can contain number from 1 to 3, the second from 1 to 3 and the third from 1 to 5, without repetitions. In this case:

1 1 1

2 1 1

3 1 1

1 2 1

2 2 1

3 2 1

1 3 1

2 3 1

3 3 1

1 1 2

2 1 2

3 1 2

....

3 3 5

Any suggestion on how to do that?

Thank you

Answer 1

[Matt J]

V=[3,3,5];

n=numel(V);
Vc=cellfun(@(x) 1:x, num2cell(V), 'uni',0);

[C{1:n}]=ndgrid(Vc{:});

out=reshape( cat(n+1,C{:}) ,[],n)

out = 45×3

1 1 1 2 1 1 3 1 1 1 2 1 2 2 1 3 2 1 1 3 1 2 3 1 3 3 1 1 1 2

[Marco Gaetani d'Aragona]

Thank you very much!