The for carbon is ##1s^2 2s^2 2p^2##.
The noble gas configuration for carbon would use the noble gas in the row above carbon on which would be Helium.
Helium has an electron configuration of ##1s^2##.
By replacing the ##1s^2## with the noble gas [He] we get a noble gas notation for carbon of [He] ##2s^2 2p^2##.
However, most chemists do not use noble gas notation for the first 18 of the periodic table.
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