Over here in Australia, many people think carp are just a "rubbish" fish and they can be caught on any bait and it doesn't matter what size hook or rig you use.
Although in Australia, we don't get those specialisted carp rods, hooks, gear....
So all I use is size 6-10 hook in baitholder, suicide or short shank. I find that anysized hook can catch any sized carp.
edited to remove censored