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 Counting and Prime
06-03-2010, 11:21 AM
Post: #1
 elim Moderator Posts: 544 Joined: Feb 2010 Reputation: 0
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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