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Degeneracy of orbitals means that there are no electrons in the orbitals at ground state and as a result, have the same energy as other orbitals in the energy level. For example, hydrogen has degenerate orbitals for everything higher energy than the 1s, meaning that its orbitals in energy level 2 all have the same energy (orbitals in 2s and 2p both have the same energy).
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