Need Help in vectors combinations

I have 2 variables (A,B) .. The first variable (A) consists of 3 vectors of size (1,9):

A(:,:,1) = [1 2 3 4 5 6 7 8 9]
A(:,:,2) = [1 4 7 2 5 8 3 6 9]
A(:,:,3) = [3 6 9 2 5 8 1 4 7]

The second variable (B) consists of 2 vectors of size (1,9):

B(:,:,1) = [11 12 13 14 15 16 17 18 19]
B(:,:,2) = [11 14 17 12 15 18 13 16 19]

How can I obtain all combinations of matrix (C) with size of (2,9) that conisits of A,B vectors for example: I want to obtain:

C(:,:,1) = [A(:,:,1) ; B(:,:,1)]
C(:,:,2) = [A(:,:,1) ; B(:,:,2)]
C(:,:,3) = [A(:,:,2) ; B(:,:,1)]
C(:,:,4) = [A(:,:,2) ; B(:,:,2)]
C(:,:,5) = [A(:,:,3) ; B(:,:,1)]
C(:,:,6) = [A(:,:,3) ; B(:,:,2)]

Answer 1

[Stephen23]

Use meshgrid and vertcat:

>> [Xa,Xb] = meshgrid(1:size(A,3),1:size(B,3));
>> C = vertcat(A(:,:,Xa(:)),B(:,:,Xb(:)))
C(:,:,1) =
     1     2     3     4     5     6     7     8     9
    11    12    13    14    15    16    17    18    19
C(:,:,2) =
     1     2     3     4     5     6     7     8     9
    11    14    17    12    15    18    13    16    19
C(:,:,3) =
     1     4     7     2     5     8     3     6     9
    11    12    13    14    15    16    17    18    19
C(:,:,4) =
     1     4     7     2     5     8     3     6     9
    11    14    17    12    15    18    13    16    19
C(:,:,5) =
     3     6     9     2     5     8     1     4     7
    11    12    13    14    15    16    17    18    19
C(:,:,6) =
     3     6     9     2     5     8     1     4     7
    11    14    17    12    15    18    13    16    19

[Mahmoud Ahmed]

Actually, I have 10 variables .. One of them consists of 83 vectors .. I replace meshgrid with ndgrid .. but when I use it, MATLAB gives me error and said:

Error using ones
Maximum variable size allowed by the program is exceeded.

    Error in ndgrid (line 69)
            x = reshape(x(:,ones(1,prod(s))),[length(x) s]); % Expand x

What can I do ?

[Walter Roberson]

What you can do is change how you are solving your problem. You are trying to produce about 2^49 different combinations, which cannot possibly fit in memory as no released x64 architecture CPU supports more than 48 address lines.