random: How to mix a list of strings randomly and add it to a text file without duplicates?

mardi 30 août 2022

I know this question might be already here on the site but all of them are not what I need. I have a list of strings in python like this

my_list = ["word1", "word2", "word3"]

now I want these words to be randomly mixed in a text file like this

word1word3word2
word2word3word1
word2word1word3

without any spaces and also using all the possible combinations and without any duplicates. Is this possible in python or not, if yes, then how ?

random