Final answer:
The maximum number of electrons that can have quantum numbers n = 4 and l = 1 is 6.
Step-by-step explanation:
The quantum numbers n = 4 and l = 1 represent the energy level and the angular momentum quantum number, respectively. The value of n determines the energy state of the electron, while the value of l determines the shape of the electron's orbital. For n = 4, the possible values of l are 0, 1, 2, and 3. Since l = 1 is one of the possible values, it means that there is only one subshell in the n = 4 energy level with l = 1.
In each subshell, there can be a maximum of 2(2l + 1) electrons. Therefore, in the n = 4, l = 1 subshell, there can be a maximum of 2(2(1) + 1) = 6 electrons.