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    Discrete Math Question

    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.