J.R. S. answered 09/07/22
Ph.D. University Professor with 10+ years Tutoring Experience
A). incorrect since if l = 1, ml cannot = 2
B). Incorrect since if n = 1, l cannot = 1
C). Incorrect since if l = 0, ml cannot = -1
D). Correct. n =2 and l = 1 and ml can be -1 to +1 and ms can be + or - 1/2
E). Correct. n = 3 and l = 2 and ml can be -2 to +2 and ms can be + or - 1/2
So, I would say that the sets that are NOT allowed would be A, B, and C.