You might have a problem. The +12Vb (more commonly called +12V2 ) powers the CPU. The +12Va (+12V1) powers pretty much everything else. The +12Vc (+12V3) likely powers a 6-pin graphics power cable. I see at least two potential issues:
1) If the PS could supply +12V1,2,3 max currents all at the same time, that would be 16A + 15A + 8A @12V = 39A @12V = 468W just for the +12V part of the power supply. Since the PS is rated 460W total including everything, all the +12V maximums cannot be supplied at the same time. Thus, your power supply may be too wimpy for the high-power 4850.
2) Assuming the +12V3 is for the graphics power connector and can supply the full 8A, that's 96W, which may not be enough for the high-power 4850.
Bottom line: try it, but don't be surprised if you need a higher-power supply to run it.