« Vrati se
let V be a finitive set and g and f be two injective surjective functions from VtoV.let T and S be two sets such that they are defined as following
S = \{w \in V: f(f(w)) = g(g(w))\}
T = \{w \in V: f(g(w)) = g(f(w))\}
we know that S \cup T = V, prove:
for each w \in V : f(w) \in S if and only if g(w) \in S

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1930IMO Shortlist 1996 problem A41
1932IMO Shortlist 1996 problem A60
1933IMO Shortlist 1996 problem A71
2016IMO Shortlist 1999 problem A60
2151IMO Shortlist 2004 problem A513
2296IMO Shortlist 2009 problem A712