Only know one or both with a certain level of probability. Wave mechanics is actually used today but both are equally correct. That makes the quantum world very difficult for non-specialists to comprehend. It turns out that the nucleus must have another force, called the strong force which operates only over very short distances, to keep all positive protons together in nucleus. Outside the nucleus, other protons are repelled from the nucleus by electrostatic forces.
Neutrons add stability to nucleus.
Same way electrons fill orbitals in all atoms.