Match the properties given in List-$I$ with the elements given in List-$II$:
List-$I$ (Property) List-$II$ (Element)
$(A)$ Lanthanoid showing $+4$ oxidation state $(i)$ $Pm$
$(B)$ Lanthanoid showing $+2$ oxidation state $(ii)$ $Ce$
$(C)$ Radioactive lanthanoid $(iii)$ $Lu$
$(D)$ Lanthanoid with $4f^7$ configuration in $+3$ state $(iv)$ $Eu$
$(E)$ Lanthanoid with $4f^{14}$ configuration in $+3$ state $(v)$ $Gd$
- $(vi)$ $Dy$

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(A) $(A) \rightarrow (ii)$ ($Ce^{4+}$ is stable due to noble gas configuration).
$(B) \rightarrow (iv)$ ($Eu^{2+}$ is stable due to $4f^7$ configuration).
$(C) \rightarrow (i)$ ($Pm$ is the only radioactive lanthanoid).
$(D) \rightarrow (v)$ ($Gd^{3+}$ has $4f^7$ configuration).
$(E) \rightarrow (iii)$ ($Lu^{3+}$ has $4f^{14}$ configuration).

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