All possible Combinations and equation analysis

Hello everyone,

1) How can I get all possible combinations?

for example: a=[1 2] , b=[2 3] , c=[1 4] and I want this as a result

d1=1 2 1

d2=2 2 1

d3=1 3 1

d4=2 3 1

d5=1 2 4

d6=2 2 4

d7=1 3 4

d8=2 3 4

2) After that, how can i compute this equation F = X1(X2-X3) for all d?

For example d1=1 2 1 so is F1=1*(2-1)=1 etc.

Answer 1

[Mohammad Abouali]

a=[1,2];
b=[2,3];
c=[1,4];

% Getting all the combinations
[x1,x2,x3]=ndgrid(a,b,c);

% reshaping them as a column vector;
x1=x1(:);
x2=x2(:);
x3=x3(:);
disp([x1 x2 x3])

       1     2     1
       2     2     1
       1     3     1
       2     3     1
       1     2     4
       2     2     4
       1     3     4
       2     3     4

% Calculating F as instructed.
F = x1.*(x2-x3)

F =

       1
       2
       2
       4
      -2
      -4
      -1
      -2

[Nik Sam]

thanks a lot

[Nik Sam]

Can I ask for something else please?

Can we can a function that receives only a,b,c..,d,e,f etc as inputs and we can give the equation as inline function from command window?