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Omni-MATH / The skeletal structure of coronene, a hydrocarbon with the chemical formula…

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problem

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?
Plain-text mathematical notation (without MathML)
The skeletal structure of coronene, a hydrocarbon with the chemical formula C₂₄H₁₂, 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) 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?
Original LaTeX notation
The skeletal structure of coronene, a hydrocarbon with the chemical formula $\mathrm{C}_{24} \mathrm{H}_{12}$, 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 $(\mathrm{H})$ 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?

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task_id
f67a7169-cead-542b-bc08-1e5e039cdb4b
task_key
test--f67a7169-cead-542b-bc08-1e5e039cdb4b
task_revision_id
1
config / split
/ test

Official source

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