Final answer:
The quantum numbers n = 3, L = 3, mₗ = -1 describe 7 electrons.
Step-by-step explanation:
To determine the number of electrons that can be described by the quantum numbers n = 3, L = 3, mₗ = -1, we need to consider the possible values of each quantum number. For n = 3, the allowed values of L (the azimuthal quantum number) are 0, 1, 2, and 3. In this case, L = 3. The allowed values of mₗ (the magnetic quantum number) for L = 3 are -3, -2, -1, 0, 1, 2, and 3. In this case, mₗ = -1. The number of electrons that can be described by these quantum numbers is equal to the number of possible values of mₗ, which is 2L + 1. Therefore, there are 2 × 3 + 1 = 7 electrons that can be described by the quantum numbers n = 3, L = 3, mₗ = -1. So, the correct answer is E. 14.