Help proving prime and permutation

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https://imgur.com/a/9tDdMqt

Hey So I am trying to prove this.

I tried using linear combinations and not sure how that would help. I am just not familiar with combinatorics and wondering if anyone would enlighten me.
 
on Phys.org
zachthemath said:
https://imgur.com/a/9tDdMqt

Hey So I am trying to prove this.

I tried using linear combinations and not sure how that would help. I am just not familiar with combinatorics and wondering if anyone would enlighten me.

Hi zachthemath, welcome to MHB!

Your picture link does not seem to work.
Can you fix it?
 

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