Final answer:
The possible third quantum numbers for an electron in the 4p sublevel are -1, 0, and +1, thus options 2) and 4) are correct.
Step-by-step explanation:
The third quantum number for one of the electrons in the 4p energy sublevel of bromine is the magnetic quantum number (ml). For a p subshell (l = 1), ml can have values of -1, 0, and +1. Therefore, the possible third quantum numbers for an electron in the 4p sublevel are -1, 0, and +1, representing the three different p orbitals within the 4p subshell. Hence, the correct answer to the question is 2) ml = 1, and 4) ml = -1. Answers 1) ml = 5 and 3) ml = 4 are not correct because they exceed the range of possible values for a p subshell.