Answer
See the answer below.
Work Step by Step
By definition of subshell labels:
$5d\rightarrow n=5, \ell=2$
and since $-\ell\leq m_\ell\leq \ell$, valid $(n,\ell,m_\ell)$ sets are:
(5,2,-2), (5,2,-1), (5,2,0), (5,2,1) and (5,2,2).
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