Alright, Nickle is in the period after Argon, that's why you don't have to state the configuration of argon and you can give the symbol: [Ar] This just signifies the octet configuration (8 electrons in valence shell). Then, as you notice, Ni2+ has a number of 28-2= 26.
Ar has an atomic number of 18.
26-18=8.
So you have 8 electrons left. so you can cancel out options d and e.
The d subshell has 5 orbitals. The principal quantum number of the d subshell is 3 in this case. 3 is lower than 4, thus, theoretically, you will fill in the lower quantum number first. There are special cases which do not exhibit this though.
And that's why you'll fill in these 8 electrons into the orbitals in 3d. Making it:
[Ar]3d8
Hope it helps. You can ask me again if you don't get this.