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Daca A,B si C subt 3 multimi avand card AxB= 77, card BxC=91 si card AxC=143, determina card C.
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Vergiliu2004

Știm că: [tex]\text{card}(A \times B) = \text{card}(A) \cdot \text{card}(B)[/tex].=

[tex]\text{card}(A \times B) = 7 \cdot 11 = 11 \cdot 7.\\\text{Daca $\text{card}(B) = 11$} \implies 11 \vert 91 \text{, ceea ce e fals, deci $\text{card}(A) = 11$}\\\text{card}(C) = \frac{143}{\text{card}(A)} = \frac{143}{11} = \boxed{13}[/tex]

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