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The number of valence electrons in the outermost shell in carbon is 4. To attain noble gas configuration carbon makes 4 bonds with carbon. Therefore, Carbon is tetravalent.
A carbon atom has four electrons in its outermost valence shell. So, it needs four more electrons to complete the octet configuration. So the valency of carbon is 4. Carbon is the 6th element in the periodic table which means it has 6 electrons.