Evaluare in Educatie subiectul 1

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Antonache Emanuel
Euclid
Posts: 37
Joined: Sat Feb 28, 2009 4:15 pm
Location: Targoviste, Dambovita

Evaluare in Educatie subiectul 1

Post by Antonache Emanuel »

Fie A o multime cu n elemente, \( n\in\mathbb{N}* \). Aratati ca \( \sum|X \cap Y|=n*4^{n-1} \), unde suma se face dupa toate perechile \( (X,Y) \) de submultimi ale lui A (notatia \( |Z| \) reprezinta numarul elementelor multimii Z).
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