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 $(v)$ $Gd$ - $(vi)$ $Dy$
| 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 | $(v)$ $Gd$ |
| - | $(vi)$ $Dy$ |
(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).
$(B) \rightarrow (iv)$ ($Eu^{2+}$ 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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