iran-konkur 2022 Q148

iran-konkur · Other · konkur-riazi_1401_specialized Not Maths
148- The degrees of vertices of a simple, connected graph are $a, b, c, 2, 2, 3, 3, 4, 5$. If the graph has $\frac{1}{5}$ equal to $(a+b+c)$, how many different cases does the set $\{a, b, c\}$ have?
(4) $2$ (3) $3$ (2) $5$ (1) $4$
\textbf{148-} The degrees of vertices of a simple, connected graph are $a, b, c, 2, 2, 3, 3, 4, 5$. If the graph has $\frac{1}{5}$ equal to $(a+b+c)$, how many different cases does the set $\{a, b, c\}$ have?

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(4) $2$ \hfill (3) $3$ \hfill (2) $5$ \hfill (1) $4$

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