Remove duplicates from array for landmark sequence generation

Hi,

Say I had an array:

x

I have 6 landmarks and I want to generate different path ways so I travel each landmarks once;

For example;

I want x to look like;

x = [1 2 3 4 5 6] or x = [1 3 2 5 4 6] or x = [1 5 4 2 3 6] without any repetition of landmarks.

However 1 is the starting landmark and 6 is the end landmark. I want these to stay as it is. The landmarks between are generated using randperm(6). How do generate an array like this?

Thanks

[pietro]

May you prepare an example with the wished result, please?

Answer 1

[Henric Rydén]

perms(x(2:end-1))

gives you all paths. Add ones and sixes with

[repmat(1,factorial(4),1) perms(x(2:end-1)) repmat(6,factorial(4),1)]

[Isuru]

Thanks for the reply. This still gives me repeated landmark values. So I only want to visit each landmark once from start to end and can't visit one place twice. Is there another way around this?

[Henric Rydén]

What do you mean by "repeated landmark values"? All rows in the output contains 1-6 and are never repeated.