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Counting and Prime
06-03-2010, 11:21 AM
Post: #1
Counting and Prime
Let $ X$ be a set of $ 2k$ elements and $ F$ a family of subsets of $ X$ each of cardinality $ k$ such that each subset of $ X$ of cardinality $ k - 1$ is contained precisely in one member of $ F$. Show that $ k + 1$ is a prime
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