All combinations of a data set without mixing data across arrays

Given the following data

Var1 = [1400, 1700, 1900]
Var2 = [1340, 1680, 1900, 1871, 789]
Var3 = [900]
Var4 = [950, 680]
Var5 = [100, 150, 150, 900]

I want to get all of the unique combinations of data without mixing between data sets i.e.

1400 1340 900 950 100

I am pretty new to MATLAB and am looking for a quick easy way to do this.

Answer 1

[Walter Roberson]

Var1 = [1400, 1700, 1900];
Var2 = [1340, 1680, 1900, 1871, 789];
Var3 = [900];
Var4 = [950, 680];
Var5 = [100, 150, 150, 900];

[temp1{1:5}] = ndgrid(Var1, Var2, Var3, Var4, Var5);

temp2 = cellfun(@(m) m(:), temp1, 'Uniform', 0);
output = [temp2{:}];

size(output)

ans = 1×2

120 5

disp(output(1:15,:))

        1400        1340         900         950         100
        1700        1340         900         950         100
        1900        1340         900         950         100
        1400        1680         900         950         100
        1700        1680         900         950         100
        1900        1680         900         950         100
        1400        1900         900         950         100
        1700        1900         900         950         100
        1900        1900         900         950         100
        1400        1871         900         950         100
        1700        1871         900         950         100
        1900        1871         900         950         100
        1400         789         900         950         100
        1700         789         900         950         100
        1900         789         900         950         100

You can see from the excerpt that output is working its way through all combinations, with the first column varying most quickly.

Answer 2

[Bruno Luong]

If you have R2023a use the stock combinations function

Var1 = [1400, 1700, 1900];
Var2 = [1340, 1680, 1900, 1871, 789];
Var3 = [900];
Var4 = [950, 680];
Var5 = [100, 150, 150, 900];

C = combinations(Var1, Var2, Var3, Var4, Var5)

C = 120×5 table
    Var1    Var2    Var3    Var4    Var5
    ____    ____    ____    ____    ____

    1400    1340    900     950     100 
    1400    1340    900     950     150 
    1400    1340    900     950     150 
    1400    1340    900     950     900 
    1400    1340    900     680     100 
    1400    1340    900     680     150 
    1400    1340    900     680     150 
    1400    1340    900     680     900 
    1400    1680    900     950     100 
    1400    1680    900     950     150 
    1400    1680    900     950     150 
    1400    1680    900     950     900 
    1400    1680    900     680     100 
    1400    1680    900     680     150 
    1400    1680    900     680     150 
    1400    1680    900     680     900 

% if prefered array output instead of table
A = table2array(C)

ans = 120×5

1400 1340 900 950 100 1400 1340 900 950 150 1400 1340 900 950 150 1400 1340 900 950 900 1400 1340 900 680 100 1400 1340 900 680 150 1400 1340 900 680 150 1400 1340 900 680 900 1400 1680 900 950 100 1400 1680 900 950 150