It’s impressive that they are able to fix them so quickly – one needs to imagine they get a non-trivial number of reports, and that some majority of them are junk. They have a good triage + repro + escalation system.
Facebook puts out stats from their bug bounty program once a year. Most of bugs are invalid reports - in 2013 they had 14,763 reports, with 687 being valid.
They probably got a couple people working exclusively on bug bounty reports. I also have to say they did a great job changing communication channels from emails to tickets which show in /support/, it is way easier now. The downside is that you must have a Facebook account, not sure if it was needed before the change.