The lines are sometimes blured and not definitive. Xc cross country racer and be HT or FS 100-120 travel built for racing and speed typically not built for decending not always the case Trail FS bike made to handle well any trail goes up and down equally well (supposedly) 120-140 travel All Mtn really made more to take the torture of any part of a mountain including drops and such not as good at climbing but serviceable really good down 140-160 travel rockhopper is an entry level HT xc bike It really comes down to how and where you ride I ride an fs XC but use it more like a trail bike.
XC = cross-country Bikes meant for more speed than technical difficulty. Not intended for big jumps. Fairly light and will do well uphill, on the flat, but not on severe descents.
Depending on course severity and length, rider skill and preferences, and rider finances, XC bikes can be both rigid, HT and FS. With HT being the most common configuration. FS is quite common too.
All-mountain is just that, a bike intended to be ridden both up and down the mountain. Slower on flat, open courses than a XC, but more manouverable. More suited for technically difficult riding.
FS frames. Will do well on severe descents. Will handle fairly big jumps and drops.
Trail bikes usually have lower gearing than XC bikes, again making them slower on open courses. But they're meant for more technically difficult riding where that speed won't be useful anyhow. More manouverable.
Won't be expected to take as big drops as an AM bike. Usually, but not necessarily hardtails.
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