My Math Forum System of distinct representatives

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 May 16th, 2017, 12:53 PM #1 Newbie   Joined: May 2017 From: Czech Rep, Prague Posts: 1 Thanks: 0 System of distinct representatives > Determine for which $k,n\in \mathbb N, 1\le k \le n$ the system $\{1,2,...,n\}\choose k$ has a system of distinct representatives. Well I think the solution is $k=n,k=1,k=n-1$. But I don't know how to prove it. I should verify the Hall condition somehow, but how? Any help would be appreciated.

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