What is a possible quantum number set for an electron found in a ground-state helium (he) atom?

The atomic number of He is 2.

So, it has two protons and two electrons.

The electron distribution for two electrons is 1 s^2.

That means that both electrons are in the orbital 1 s when they are in ground-state (not excited).

So, the quantum numbers are:

n = 1

l (lower case L) = 0

ms = 0

s = -1/2 and 1/2

So these are the two set of quantum numbers:

(1, 0, 0, +1/2), and (1, 0, 0, -1/2)