olymmath

HMMT November 2017 U19

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The skeletal structure of coronene, a hydrocarbon with the chemical formula C24H12\mathrm{C}_{24} \mathrm{H}_{12}, is shown below.

Each line segment between two atoms is at least a single bond. However, since each carbon (C) requires exactly four bonds connected to it and each hydrogen (H)(\mathrm{H}) requires exactly one bond, some of the line segments are actually double bonds. How many arrangements of single/double bonds are there such that the above requirements are satisfied?

Dataset text NuminaMath olympiads. Quoted with source.

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