Permutation of variables with different states - get all combinations

Hello guys, I have four IDs:

1. A
2. B
3. C
4. D

For each ID different states are possible (note, that A/B have different states than C/D):

1. A [1; 2; 3]
2. B [1; 2; 3]
3. C [1; 3; 4]
4. D [1; 3; 4]

I would like to permutate these states and get all combinations:

A B C D

1 3 4 3

....

How can I do that in matlab ? :)

Answer 1

[Stephen23]

Download Jos's excellent allcomb, and use it like this:

>> allcomb([1,2,3],[1,2,3],[1,3,4],[1,3,4])
ans =
   1   1   1   1
   1   1   1   3
   1   1   1   4
   1   1   3   1
   1   1   3   3
   1   1   3   4
   1   1   4   1
   1   1   4   3
   1   1   4   4
   1   2   1   1
   1   2   1   3
   1   2   1   4
   1   2   3   1
   1   2   3   3
   1   2   3   4
   1   2   4   1
   1   2   4   3
   1   2   4   4
   1   3   1   1
   1   3   1   3
   1   3   1   4
   1   3   3   1
   1   3   3   3
   1   3   3   4
   1   3   4   1
   1   3   4   3
   1   3   4   4
   2   1   1   1
   2   1   1   3
   2   1   1   4
   2   1   3   1
   2   1   3   3
   2   1   3   4
   2   1   4   1
   2   1   4   3
   2   1   4   4
   2   2   1   1
   2   2   1   3
   2   2   1   4
   2   2   3   1
   2   2   3   3
   2   2   3   4
   2   2   4   1
   2   2   4   3
   2   2   4   4
   2   3   1   1
   2   3   1   3
   2   3   1   4
   2   3   3   1
   2   3   3   3
   2   3   3   4
   2   3   4   1
   2   3   4   3
   2   3   4   4
   3   1   1   1
   3   1   1   3
   3   1   1   4
   3   1   3   1
   3   1   3   3
   3   1   3   4
   3   1   4   1
   3   1   4   3
   3   1   4   4
   3   2   1   1
   3   2   1   3
   3   2   1   4
   3   2   3   1
   3   2   3   3
   3   2   3   4
   3   2   4   1
   3   2   4   3
   3   2   4   4
   3   3   1   1
   3   3   1   3
   3   3   1   4
   3   3   3   1
   3   3   3   3
   3   3   3   4
   3   3   4   1
   3   3   4   3
   3   3   4   4