Random vector non repeated otherwise create new vector

Hello,

I have number list from 1 to 5. We know there are 120 different permutation for these. I want to write a rule that for my algorithm, I want to create a permutation that does not creaated before. For example,

1 2 3 4 5 first

2 3 4 5 1 second

...

2 3 4 5 1 nth it shouldn't be created. It is already in the second iteration.

So, by this manner creations should end at most 120th trial.

Can you help me solve this? I'm using randperm

Thank you.

[Guillaume]

randperm doesn't keep track of previously generated permutations, so it's never going to be useful for this.

Why can't you just generate at once the 120 permutations (with perm) and shuffle them if needed?

[Stephen23]

Create all permutations, then pick randomly.

Answer 1

[Brendan Hamm]

p = perms(1:5);
idx = randi([1,size(p,1)]);
selection = p(idx,:)

Answer 2

[Yigitalp Ozmen]

Thank you for your answers. What about for bigger numbers such as 10. Matlab cant generate 10!. But maybe it can generate permutations different from previous ones. Is it achivable?