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cmiN

[Math] From futurama

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Intr-un episod era o masinarie care schimba mintea/creierul psihic intre 2 corpuri, dar o pereche de corpuri care au facut schimb nu mai pot face schimb la loc. De cate persoane este nevoie minim pentru a aduce la loc mintea ce corespunde fiecarui corp ?

Daca avem persoanele A B C, si A schimba cu B atunci acestea 2 nu mai pot schimba la loc, dar oricare din A si B pot schimba cu C.

Raspunsul se gaseste aproape imediat, dar vreau o demonstratie matematica :).

Hint: permutari.

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explicatie logica:

daca este nevoie de o a treia persoana (minim) pt a schimba creierele a 2 persoane, insa cu regula ta nu mai merge, iar zamolxis666 a gasit un raspuns corect (un grup de 4 persoane) => (logic) ca un grup de 4 persoane este minim.

explicatia matematica se cam fereste de mine

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