how to find total combination of 5 elements in composition?

I’m trying to find to total combination of numbers for a quinary alloys that contains 5 elements. The composition of each element can change between 1at% to 96at%.

1≤X1≤96

1≤X2≤96

1≤X3≤96

1≤X4≤96

1≤X5≤96

X1+ X2+X3+X4+ X5=100

For example one easy solution is:1-1-1-1-96

As you know the sum of composition should be 100%.

How can I find the total combination with matlab code?

[Majid Vaghari]

the step of change is 1%

[Rik]

Do you need to generate every combination, or do you just want the total count?

Answer 1

[Matt J]

Here's an old routine from John D'Errico. I can't find it on the File Exchange anymore, for some reason.

combinations=diophantine([1,1,1,1,1],100,1:96);

[Majid Vaghari]

Thanks Matt J, That was fantastic!

Regards,

Majid