Concept:EAN is the total number of electrons around the central metal ion in a complex.It is calculated as:EAN=Z−oxidation state+electrons donated by ligandsExplanation:For cobalt, the atomic number is Z=27.In [Co(NH3)6]3+, ammonia is a neutral ligand.Thus, the oxidation state of Co is given by:x+6(0)=+3So, x=+3.Each NH3 ligand donates 2 electrons.Therefore, 6 ammonia ligands donate:6×2=12 electronsNow, calculate EAN:EAN=27−3+12EAN=36Answer:The EAN of Co in [Co(NH3)6]3+ is 36.Correct option: C.