Give the maximum number of electrons in an atom that can have these quantum numbers.

Question

1. n = 3, ℓ = 2, mℓ = -1, ms = 1/2
2. n = 2, ℓ = 1, mℓ = -1, ms = -1/2

Answer 1

I think your question is nonsense. Surely it can be stated in a better way. As I see it #1 must have a minimum of 18 electrons to have n = 3 and l = 2. But any number of electrons above that number of 18 is possible and all of those combinations will have an electron with ml = -1 and ms of 1/2. Have I misinterpreted your question? I don't think it's possible for a maximum number unless you use the end of the periodic table.