How to find all the possible permutations in a given array?

The following vector is x = [1 ; 2 ; 3 ; 4 ; 8 ];

I want to find all possible permutations of the given vector by taking 5 elements, 4 elements & 3 elements at a time. The 'perms' function only provides the permutations by taking all the elements of the array at a time.

Kindly suggest any predefined function or process to get this.

Answer 1

[Bruno Luong]

x = [1 ; 2 ; 3 ; 4 ; 8 ]

p=arrayfun(@(k) num2cell(nchoosek(x,k),2), 3:length(x), 'unif', 0);
p=cat(1,p{:});
p=cellfun(@(x) num2cell(perms(x),2),p,'unif',0);
p=cat(1,p{:});

p{:}

[Manas Ranjan Pattnayak]

Thanks a lot. Works fine. Could you explain how the code works??

[Bruno Luong]

• The first command select subsets of 3,4,5 elements from x.
• The second command put the nested cell in the same level
• The third command find permutations of each subset
• The fourth command is similar than the second one

[Manas Ranjan Pattnayak]

Thank you so much for the quick response.