For the following
(a) I− (b) Cl− (c) Br−
The increasing order of nucleophilicity would be
CI−<Br−<I−
The order of nucleophilicities of halides ions in water (default solvent) will be Cl−<Br−<I− The larger the anion, the softer it is so there is less tendency to be a base. Also, as we go down this group (halogens), the lone pairs tend to have a higher energy (higher principal quantum number) and thus the electron pair of the nucleophile has a higher HOMO (highest occupied molecular orbital). This translates to being a better or a more-capable nucleophile.