matrix with all possible combinations of 8!

Hello!

I have a vector a = 1:8 and want all different combinations of these numbers where each number can only occur once in each row. So i want

12345678

12345687

12345867

12345876

and so on.

I've been stuck on this for hours, I have googled and used allcomb but that leads to rows like 11111118 and I can't seem to figure out how to only get the rows where each number is represented only once. Can anyone help me?

Answer 1

[madhan ravi]

See https://www.mathworks.com/matlabcentral/answers/442258-what-is-the-fastest-and-most-elegant-way-to-calculate-permutations-of-a-vector-of-numbers#answer_358685

perms(1:8) * 10.^(numel(1:8)-1:-1:0).'

Answer 2

[Jos (10584)]

You need permutations not combinations (which my function allcomb returns).

Take a look at PERMS

>> perms(1:3)
     3     2     1
     3     1     2
     2     3     1
     2     1     3
     1     3     2
     1     2     3

Answer 3

[Erika Puiutta]

Thank you guys so much!

I was so sure there would be a single function that does this, but I just couldn't find it for the life of me. Thanks again!