Question

Indicate the number of unpaired electrons for each:
[noble gas] ns2np5
[noble gas] ns2(n-1)d2
[noble gas] ns2(n-1)d10np1
[noble gas] ns2(n-2)f6

Answer 1

The basic rule is that electrons will go into orbitals of equal energy unpaired.
There are 3 p orbitals. So s2p5 would have 1 unpaired e.
There are 5 d orbitals, so you would have 2 unpaired electrons, one in the first d orbital and one in the second.
You can get the rest.