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17 types, 6 primary and 6 secondary types per team maximum for a total of 12. 17-12=5.
What five types are the most redundant and altogether avoidable, given both the singleplayer and the Gen 5 metagame?
I humbly suggest:
Normal (switching into ghosts and STABing Normal aren't very useful when most Ghosts are less offensive or have stuff other than Shadow Ball)
Dark (Switching into STAB Psychics as an offensively-geared pokemon is nice, but that's about it, and too redundant with Ghost and Bug outside of that niche)
Grass (strong offensive niche, sustained only by its incredible synergy with Poison and Fire, especially with Sunnybeam and Chlorophyll
Rock (totally outdone by Steel in defense and support, Rock-type moves are easily given to better physical attackers, Sandstorm immunity is pretty damn common. Poor synergy with most typings)
Ice (vulnerable to anything except itself, too many excellent offensive pokemon get Ice moves already)