Apologies, I'm new here. I tried to follow the template as best as I could.
To clarify, I'm trying to prove the theorem p!/[(p− i)! * i] * 1/p where 0<i<p when p is a prime number and i is an integer.
Prove the following theorem:
Theorem For a prime number p and integer i,
if 0 < i < p then p!/[(p− i)! * i] * 1/p
Not sure how to go about this. I wanted to do a direct proof and this is what Ive got so far.
let i = p-n
then p!/[(p-n)!*(p-n)] but that doesnt exactly prove much.