Which set of quantum numbers for an electron of an atom is not possible?

The total number of orbitals associated with the principal quantum number $n = 5$ is

Given below are two statements :
Statement $I$ : $A$ spectral line will be observed for a $2p_x \rightarrow 2p_y$ transition.
Statement $II$ : $2p_x$ and $2p_y$ are degenerate orbitals.
In the light of the above statements,choose the correct answer from the options given below :

The number of unpaired electrons in $Fe^{3+}$ $(Z = 26)$ is:

$A$ subshell with $l = 2$ is called?

Which of the sequences given below shows the correct increasing order of energy?