Six orbits, but they aren't really moving in "rings". There are two "principal quantum numbers": two with quantum number 1 and four with quantum number 2.
The Bohr-atom concept of electron "rings" or "shells" is still used in high school chem to explain the periodic table, but do not take it too literally.
How many electron rings does carbon have?
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I'm sure that the intent of the question was to answer two "rings" or two shells, as DrWLS has suggested.
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