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Let A and B be disjoint nonempty sets with A \cup  B = \{1, 2,3, \ldots, 10\}. Show that there exist elements a \in A and b \in B such that the number a^3 + ab^2 + b^3 is divisible by 11.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
2538skakavac 2013 prvo kolo ss3 40
2530skakavac 2013 prvo kolo ss1 44
2457MEMO 2011 ekipno problem 81
2445MEMO 2010 ekipno problem 82
2432MEMO 2009 ekipno problem 715
2413MEMO 2007 ekipno problem 89