how to make a matrix only showing Permutation without order ?

iam currently on projekt calculation every 3 Dart Single Kombination possible but without giving me the same number in a differnt order.

Code

c=[1:20 25]

c = 1×21

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25

Single1=c

Single1 = 1×21

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25

Single2=Single1;
Single3=Single1;
Singlkomb = fliplr(combvec(Single1,Single2,Single3)')

Singlkomb = 9261×3

1 1 1 1 1 2 1 1 3 1 1 4 1 1 5 1 1 6 1 1 7 1 1 8 1 1 9 1 1 10

the combination fliplr(combvec(Single1,Single2,Single3)') brings me all the combination e.g 1 2 1, 2 1 1 and 1 1 2 but i only want that the same numbers appears one time in the matrix. I want to find a method that shows me permutation without order.

Thx

Answer 1

[Torsten]

You mean

nchoosek([1:20,25],3)

ans = 1330×3

1 2 3 1 2 4 1 2 5 1 2 6 1 2 7 1 2 8 1 2 9 1 2 10 1 2 11 1 2 12

nchoosek(21,3)

ans = 1330

not

21^3

ans = 9261

?

[Simon Gühring]

hey thank you for your answer

no maybe i havn`t expressed myself very well i want as output

1 1 1

1 1 2

1 1 3 and so on

but every kombination should appear just once for example only 1 1 2 and not 1 2 1 or 2 1 1 its about the order.

[Torsten]

c=[1:20 25];
Single1=c;
Single2=Single1;
Single3=Single1;
Singlkomb = fliplr(combvec(Single1,Single2,Single3)')

Singlkomb = 9261×3

1 1 1 1 1 2 1 1 3 1 1 4 1 1 5 1 1 6 1 1 7 1 1 8 1 1 9 1 1 10

Singlkomb = unique(sort(Singlkomb,2),'rows')

Singlkomb = 1771×3

1 1 1 1 1 2 1 1 3 1 1 4 1 1 5 1 1 6 1 1 7 1 1 8 1 1 9 1 1 10

nchoosek(21,1)+nchoosek(21,2)*2+nchoosek(21,3)

ans = 1771

Answer 2

[Bruno Luong]

This is called combination with repetition

You don't need to generate the permutation and filter out which can take much larger amount of memory

a=[1:20,25]

a = 1×21

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25

k=3

k = 3

c=repcomb(a, k)

c = 1771×3

1 1 1 1 1 2 1 1 3 1 1 4 1 1 5 1 1 6 1 1 7 1 1 8 1 1 9 1 1 10

%% return combination of k elements of array a with repetition
function c = repcomb(a, k)
n=length(a);
q=n+k-1;
j=nchoosek(1:q,k)-(0:k-1);
c=a(j);
end