program that lists all ways people

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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python 3

Write a program that lists all ways people can line up for a photo (all permutations of a list of strings). The program will read a list of one word names, then use a recursive method to create and output all possible orderings of those names, one ordering per line.

When the input is:

Julia Lucas Mia

then the output is (must match the below ordering):

Julia Lucas Mia

Julia Mia Lucas

Lucas Julia Mia

Lucas Mia Julia

Mia Julia Lucas

Mia Lucas Julia

question: is it any way that i can use ('if' statement as base case, and 'else' statement as recursive case) in the code below?

thanks.

code:

def all_permutations(permList, nameList):
# TODO: Implement method to create and output all permutations of the list of names.
def createPermutationsList(nameList):
f = len(nameList)

if f == 0:
return []

if f == 1:
return [nameList]

permList = []

for i in range(f):
newList = nameList[i]
remaining = nameList[:i] + nameList[i+1:]

for p in createPermutationsList(remaining):
permList.append([newList] + p)

return permList

permList = createPermutationsList(nameList)

for p in permList:
for j in p:
print(j, end = " ")
print()

if __name__ == "__main__":
nameList = input().split(' ')
permList = []
all_permutations(permList, nameList)

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