So, if you have two spin (1/2) particles together, this can overall act like either a particle with spin 1 or a particle with spin 0, right? While 4 spin (1/2)

So, if you have two spin (1/2) particles together, this can overall act like either a particle with spin 1 or a particle with spin 0, right? While 4 spin (1/2) particles could either act like a particle with spin 2, or like a particle with spin 1 (in one of three different ways) or like a particle with spin 0 (5 + 3*3 + 1 = 2^4 ) right? So, what if we consider helium-4 nuclei in the spin 0 state? Maybe that doesn’t make sense..