Let $A_n=\{1,2,3,...,2n\}$. Show that any $(n+2)\text{-}$element subset of $A_n$ contains two integers whose sum is in that subset.
Any idea how to choose the pigeonholes please ?
Let $A_n=\{1,2,3,...,2n\}$. Show that any $(n+2)\text{-}$element subset of $A_n$ contains two integers whose sum is in that subset.
Any idea how to choose the pigeonholes please ?
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