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Sep 22, 2015 at 19:12 comment added Gerhard Paseman There is the generic situation: if Omega is all r-sets of an n-set $\binom{n-r}{r}$ do not intersect a given r-set $A$, giving a ratio of $(a-b)/a$ where $a=n(n-1)...(n-r+1)$ and $b=(n-r)(n-r-1)...(n-2r+1)$. In general $f_{r,c}(n)$ won't have much range for large $n$ and small $r$. Gerhard "How Tight Do You Need?" Paseman, 2015.09.22
Sep 22, 2015 at 18:45 history asked Capublanca CC BY-SA 3.0