Problema teoria multimilor!

Moderators: Laurian Filip, Filip Chindea, maky, Cosmin Pohoata

Post Reply
User avatar
maxim bogdan
Thales
Posts: 106
Joined: Tue Aug 19, 2008 1:56 pm
Location: Botosani

Problema teoria multimilor!

Post by maxim bogdan »

Fie \( n\neq 4 \) un numar intreg pozitiv. Consideram multimea \( S\subseteq \{1,2,\dots ,n\} \), cu \( |S|>\lceil \frac{n}{2}\rceil. \) Demonstrati ca exista \( x,y,z\in{S} \) astfel incat \( x+y=3z. \)
Feuerbach
Top
Post Reply

Return to “Teoria Numerelor”