Consider a prototypical fullerene, \( \mathrm{C}_{60^{\circ}} \). L...

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Consider a prototypical fullerene, \( \mathrm{C}_{60^{\circ}} \).
Let, \( \quad \mathrm{a}= \) Number of 5 -membered rings \( \quad \);
P \( b= \) Number of 6-membered rings

W
\[
\mathrm{c}=\text { Number of } \pi \text {-bonds in } \mathrm{C}_{60}
\]
Find the value of \( (3 a-2 b+c) \)
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