combination of integer numbers
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Nasser Hakami
on 16 Nov 2019
Commented: Nasser Hakami
on 19 Nov 2019
I need to make distibution of 15 apples among 4 person [a b c d],
each person can have a value betwwen 0-15. and summation always (a+b+c+d=15)
so how can i generate the matrix for all possible combinantion
so i eapect matrix as
a = [1 14 0 0
0 0 0 15
3 6 2 4
...................
...................]
2 Comments
Walter Roberson
on 16 Nov 2019
One approach is to ndgrid() all possible combinations, and then check those to find the ones that add up to the right number.
Accepted Answer
the cyclist
on 16 Nov 2019
p = partitions(15,[1 1 1 1])
5 Comments
the cyclist
on 18 Nov 2019
I don't think an easier example was needed, but I can verify that
partitions(4,[1 1 1])
gives the same answer (not necessarily in the same row order).
I'm not sure why you couldn't run the code. Did you do the following?
- go to the link I uploaded
- click on the download button to get the files
- unzip the files
- put the partitions.m file in your path so that you can run it
More Answers (1)
Walter Roberson
on 18 Nov 2019
[Ag, Bg, Cg, Dg] = ndgrid(0:15);
Eg = [Ag(:), Bg(:), Cg(:), Dg(:)];
mask = sum(Eg,2) == 15;
selected = Eg(mask,:);
a = selected(:,1);
b = selected(:,2);
c = selected(:,3);
d = selected(:,4);
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