State the general electronic configuration of lanthanoids. Why are there irregularities in the electronic configuration of lanthanoids?

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(N/A) The general electronic configuration of lanthanoids is $[Xe] 4f^{1-14} 5d^{0-1} 6s^{2}$.
Reason for irregularities:
The irregularities in electronic configurations arise because the energy difference between the $4f$ and $5d$ orbitals is very small.
Consequently,the incoming electron can enter either the $4f$ or the $5d$ orbital.
In lanthanoids,$f$-orbitals are generally filled successively with an increase in atomic number.
However,in elements like Lanthanum $(La)$,Gadolinium $(Gd)$,and Lutetium $(Lu)$,one electron is present in the $5d$ orbital.
These irregularities are due to the extra stability associated with empty $(f^{0})$,half-filled $(f^{7})$,and fully-filled $(f^{14})$ $f$-orbital configurations,respectively.
As Lanthanum and Lutetium possess one $5d$ electron,they are sometimes classified as group $3$ elements.

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Determine the correct $(T)$ and incorrect $(F)$ statements from the following:
$(a)$ The symbol for Lanthanum is $La$.
$(b)$ The name of the element $Lu$ is Lanthanum.
$(c)$ The electronic configuration of $La^{3+}$ and $Ce^{4+}$ contains $4f^0$.

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