MATLAB: Permutations of an array by fixing some element

array permutationconditional permutationfixed elementpermutation

Hello,
I need to permute the elements of an array but some specific elements have to be fixed. For example, consider the following array.
array = [1 0 3 0 5 0]
All the 0's in this array must be fixed. Other elements can change their positions, For this example, the following are all the possible results. 
1 0 3 0 5 0
1 0 5 0 3 0
3 0 1 0 5 0
3 0 5 0 1 0
5 0 1 0 3 0
5 0 3 0 1 0
Also, I need a general algorithm that works for any given 1xn array, and I need all the possible results.
Thanks for your efforts.

Best Answer

array=[1 0 3 0 5 0]
b = array~=0;
A = zeros(factorial(sum(b)),length(array));
A(:,b) = perms(array(b))
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