Where I live the carp are a problem when you are barbel fishing!
I have an old Greys Prodigy 1.5 TC 3-piece barbel rod that is great for barbel in the summer, but a bit underpowered for when the river Lot is in its full winter state. It has managed a couple of carp (13lb and 29lb) but I ended up swimming for one when it went around a fallen tree. Great rod for the usual barbel here running 3lb-9lb.
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If you want a cheap rod for the odd occasions when the river is in spate, check out the Korum Big Water range. The tip is still soft enough to see bites developing and play a 5lb barbel showing a fair bend in the rod.
But my Korum BW (the 2.75 lb 3-piece) had enough power left in the butt to bring this 27 lb carp from about 100 yds downriver when there was a good flow going down.....
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It's a good casting rod as well and much better balanced than my carp rods. I think mine cost around 80 euros, some of the 2-piece I have seen advertised at around £45 in the UK - bargain!
Reels, I favor the Shimano Baitrunner Oceanic (OC) reels. The 4000 for barbel in summer and 6000 or 8000 in floods and where carp might show. My Shimanos have had a few dunkings - still running smooth!