This problem looks at two identical non-interacting spin 1/2 fermions in a potential V(r). Consider the following quantities: (i) The total spin angular momentum magnitude quantum number S (ii) The quantum number for spin angular momentum along the Z axis M (iii) The particle-exchange parity for the space-coordinates (iv) The quantum number for the magnitude of the spin of a single electron In an energy eigenstate what is the largest combination of the above quantities that can simultaneously have definite values? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. (i) and (ii) [i.e. an energy eigenstate can have definite quantum numbers S and M, but then cannot simultaneously have a definite a parity under the exchange of the spatial coordinates of the two particles, or have definite spin magnitudes for the individual particles] b (i) and (iii) c (i),(iii),(iv) d (i),(ii),(iii) e (i),(ii),(iii),(iv)