For A,
Given n = 3 and l = 3
but we know maximum value of l = n − 1.
∴ l can't be equal to n.
So, Set A of quantum numbers is not possible.
For B,
Given n = 3, l = 2, m = − 2
Here, l = 2 which follow the rule l = n − 1.
And we know possible value of m is − l to + l.
here possible value of m = −2 to +2
∴ This Set B is valid set of quantum numbers.
For C,
Given n = 2, l = 1, m = +1
Here l = 1 which follows the rule l = n − 1.
For l = 1 possible value of m = −1 to +1
Here m = +1. So value of m is valid.
∴ Set C is valid set of quantum numbers.
For D,
Given n = 2, l = 2, m = +2
l = 2 does not follow the rule l = n − 1 rule.
∴ Set D is not valid set of quantum numbers.