[Python] Generate list of random names - Python

I'm trying to create a list of names, with each one being different. Here is my code right now, but all it does it create multiple instances of the same name.

import random

first_names=('John','Andy','Joe')
last_names=('Johnson','Smith','Williams')

full_name=random.choice(first_names)+" "+random.choice(last_names)

group=full_name*3


For example, this would show up as:

John Smith
John Smith
John Smith


But I want something like:

John Williams
Andy Johnson
Joe Johnson

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