Probably a bad power supply...
If the MBP isn't booting because of a completely dead battery and/or intermittent charge capability from the power supply then this could explain your condition.
It sounds to me that you may have a short either in the wiring to/from your power supply or the power supply itself is malfunctioning (a known problem on some earlier MBP power supplies).
Try wiggling the wire near both ends of the power supply and note if the charge light appears or appears intermittently. The easiest thing is to try another power supply from a friend or coworker. If it comes back on, note the charge condition to the battery if it boots, and I'd suggest running Disk Utility to repair from aborted start-ups/shut downs but only if sufficient battery charge exists or a good steady supply of AC from the PS.
I have found it useful to always have a spare power supply, one for the usual spot where I use the computer and another for travel purposes.
Good luck.