Umfana ucabanga inombolo ethi \(1\) , \(2\) noma \(3\) bese intombazane ivunyelwe ukubuza umbuzo owodwa kuphela ngaleyo nombolo. Umfana angaphendula kuphela ngokuthi " yebo , " cha, " noma " angazi." Ngokubuza lo mbuzo ngobuhlakani, intombazane iyakwazi ukusho inombolo efanele umfana abecabanga ngayo ngemva kokuba umfana eyiphendule. Uthini umbuzo wakho?
Isixazululo esingase sibe khona yilesi: " Ngicabanga futhi ngeyodwa yalezi zinombolo. Ingabe inombolo yakho, ephakanyiswe emandleni enombolo yami, inkulu kune \(2\) ? " Okusho ukuthi, \(n\) mayibe yinombolo yomfana (intombazane engayazi), futhi \(m\) kube inombolo yentombazane (umfana angayazi). Bese kuba njalo:
$$n=1 \Rightarrow \text{Nein: } 1^m = 1 \ngtr 2 \,\, \forall \, m \in \{ 1, 2, 3 \}$$ $$n=2 \Rightarrow \text{Ich weiß es nicht: } \text{Ob } 2^m > 2 \text{ hängt von } m \text{ ab}$$ $$n=3 \Rightarrow \text{Ja: } 3^m \geq 3 > 2 \,\, \forall \, m \in \{ 1, 2, 3 \}$$