How many electrons in an atom can have the following quantum numbers

1) n=3. I know this one is 18 electrons
I'm confused on these parts
2)n=4, l=1
3)n=6 l=1 m(l)=-1

hello again ....

2) n = 4 , l = 1

direct method ...l = 1 is p subshell and as there are 3 orbitals and every orbital can have 2 electrons ....so 6 electrons possible ...

another method ....find the 4 quantum numbers for each electron ...
you know that for every l = 1 ....ml = -l to +l ...so possible values for ml = -1 , 0 , +1

and for every ml value two ms value =+1/2 ,-1/2 ....so

for ml = -1 ...ms = +1/2, -1/2
ml = 0 , ms = +1/2,-1/2
ml = +1 , ms = +1/2,-1/2

so all in all there are 6 electrons ....

3) n = 6 , l = 1 , ml = -1

so ms = -1/2,+1/2

so 2 electrons

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