Please show your work.

Below is a sketch of the radial probability distribution for the 4f, 5d, and 6s atomic orbitals. 4f Probability 5d 6s (a) In the 4f shell, write down the allowed quantum numbers n, I, my, and ms. How many electrodes can fill this orbital? (b) Given the probability distribution shown above, which of the 4f, 5d, and 6s do you expect to fill first? Why? (c) Once all three orbitals are filled, which do you expect to ionize first? Why