Permutation of only x elements of a vector

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Imagine a vector of natural numbers between 1 and 20, say
x=randperm(20)
I want to generate a vector identical to x, but changing the position of exactly 4 elements. How can I do this in general for a vector of m elements, when I want to change n elements?
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Stephen23
Stephen23 2017-9-14
"...changing the position of exactly 4 elements"
Do the positions have to change, or do you accept the possibility of the positions (randomly) being the same?

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Guillaume
Guillaume 2017-9-14
Doesn't your question just reduce to selecting 4 random integers from 1 to numel(x) using either randperm if the elements have to swap or randi if you accept the positions being the same (as per Stephen's question). You can then swap them in a fixed order or using randperm (which runs the risk of not doing any swapping)
x = 1:20;
swapidx = randperm(numel(x), 4); %or randi(n, 1, 4);
x(swapidx) = x(fliplr(swapidx)) %swap 1st index with fourth, 2nd with 3rd
x(swapidx) = x(swapidx(randperm(4))) %swap randomly (may not swap)

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