Problems with For Loops and Lists

[Sagramor72]

Hello all,
I am beginner and I can't find the mistake in my code.

Starting with a list list_item = [0, 0, 0] I want modify every single element sequentially.
I want also that each modified element will become an element of the list called list_with_list_items.

I wrote this code:

list_item = [0, 0, 0] 
list_with_list_items=[] 
for n0 in range(0, 5): 
    list_item [0] = n0+1 
    for n1 in range(n0+1, 6): 
        list_item [1] = n1+1 
        for n2 in range(n1+1, 7): 
            list_item [2] = n2+1 
            print(str(list_item)) 
            list_with_list_items.append(list_item) 
print(str(list_with_list_items)) 

but the output is:
[[5, 6, 7], [5, 6, 7], [5, 6, 7], …., [5, 6, 7], [5, 6, 7], [5, 6, 7]]

what I want is:
[[1, 2, 3], [1, 2, 4], [1, 2, 5], …., [4, 5, 7], [4, 6, 7], [5, 6, 7]]

but I can't find the mistake.

Thank you in advance for your help.