What is the maximum number of orbitals that can be identified by each of the following sets of quantum numbers? When “none” is the correct answer, explain your reasoning. 

(a) n = 4, ℓ = 3
(b) n = 5
(c) n = 2, ℓ = 2
(d) n = 3, ℓ = 1, m_ℓ = −1