If carbon atom has electronic configuration 1s6, it would have energy lower than that of the normal ground state configuration 1s2 2s2 2p2. Yet 1s6 is not observed because it violates
Pauli exclusion principle
Aufbau Principle
Pauli Exclusion principle can be stated as: "only two electrons may exist in the same orbital and these electron must have opposite spin.
Now, we can conclude that in s orbital only 2 electrons can be filled.
So 1s6 configuration violates Pauli Exclusion principle.