Randomly generating different list from list

hello!
first I created a list called “citys” then it tried to swap randomly two elements in the “citys” list for 5 times and at the same time tried to store the new lists in the “number_of_citys” but it turns out bad every time it loops, it insert the last swapped arrays only.
I used this randomly generated list ,
citys= [[1,2], [3,4],[1,3],[5,2]] , to create another list. And I expected my list to be,
orders_of_citys=[[[1,2], [5,2],[1,3][3,4]] , [[5,2], [1,2],[1,3][3,4]],[ [1,3], [1,2],[5,2][3,4]], [[3,4], [1,2],[5,2][1,3]], [1,3], [1,2],[5,2][3,4]] ]
but I got the following
order_of_citys =[[[1,3], [1,2],[5,2][3,4]], [[1,3], [1,2],[5,2][3,4]], [[1,3], [1,2],[5,2][3,4]] ,[[1,3], [1,2],[5,2][3,4]], [[1,3], [1,2],[5,2][3,4]]]
I have used append(), +=, and insert built in function and operators but I still get the same array. please I would like some one to point me my problem. The code I wrote is the following.

import random
  
citys = []
number_of_cities = 5
orders_of_citys = []
pop = 5

#give random place for cities on 2D plane
for i in range(number_of_cities):
        citys.append( [ random.randint(0, 1000), random.randint(0, 1000)])

#suffle  points (citys) position to get different path
def swap(c, a, b):
        value = c[a]
        c[a] = c[b]
        c[b] = value
        return c

for j in range(pop):
    a = random.randint(0, len(citys)-1)
    b= random.randint(0, len(citys)-1)
    new_path = swap(citys, a, b)
    orders_of_citys.append(new_path)

Thanks!

@adexoxo What does this have to do with Finding the Symmetric Difference?

I am sorry I mistakenly posted on another title.

Please update to an appropriate title.

Also, please explain in detail exactly what this code is supposed to be doing. Explain what the code is not doing that you expect it to do. Example calls and expected output would be greatly appreciated.

Thank you.