Step 1: Identify Ligands
The complex contains five ammine ($NH_3$) ligands and one nitrito ($ONO^-$) ligand.
Step 2: Determine Oxidation State
Let oxidation state of $Co$ be $x$: $x + 5(0) + (-1) = +2 \Rightarrow x = +3$.
Step 3: Naming
Name ligands alphabetically (ammine before nitrito). The nitrite ligand is bonded through Oxygen, so it is called "nitrito".
The full name is: penta ammine nitrito cobalt (III) ion.
Final Answer: (b)