Help with this Quantum number question.?

Rules :
1. For a given n, ℓ = 0, 1, 2, 3 ...... n-1
2. For a given ℓ, mℓ = -ℓ, -(ℓ-1), ......-1, 0, 1, ......, ℓ-1, ℓ
3. ms = +1/2 or ms = -1/2

a. allowed
For n = 5, ℓ = 0, 1, 2, 3, 4. Thus, ℓ = 3 is allowed.
For ℓ = 3, mℓ = -3, -2, -1, 0, 1, 2, 3. Thus mℓ = -1 is allowed.
ms = +1/2 is allowed.

b. allowed
For n = 1, ℓ = 0 only. Thus, ℓ = 0 is allowed.
For ℓ = 0, mℓ = 0 only. Thus mℓ = 0 is allowed.
ms = -1/2 is allowed.

c. NOT allowed
For n = 2, ℓ = 0, 1. Thus, ℓ = 2 is NOT allowed.

d. allowed
For n = 4, ℓ = 0, 1, 2, 3. Thus, ℓ = 1 is allowed.
For ℓ = 1, mℓ = -1, 0, 1. Thus mℓ = 0 is allowed.
ms = -1/2 is allowed.

e. allowed
For n = 6, ℓ = 0, 1, 2, 3, 4, 5. Thus, ℓ = 4 is allowed.
For ℓ = 4, mℓ = -4, -3, -2, -1, 0, 1, 2, 3, 4. Thus mℓ = -3 is allowed.
ms = +1/2 is allowed.

...... The answer is: c. n = 2, ℓ = 2, mℓ = +2, ms=+1/2

...
c is incorrect because the 2nd level can only have s and p sublevels (I = 0 or 1)
when I = 2 you must have a d sublevel

check out this reference
http://www.meta-synthesis.com/webbook/34_qn/qn_to_pt.html
especially see the chart about half way down the page for some serious help

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