how to find total combination of 5 elements in composition?

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Majid Vaghari
Majid Vaghari on 20 Jan 2022
Commented: Majid Vaghari on 20 Jan 2022
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?

Accepted Answer

Matt J
Matt J on 20 Jan 2022
Edited: Matt J on 20 Jan 2022
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);

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