How many different faiths of chaplains are out there now?

All I know is that over the last 3 years, I've watched my brother die, my son was born dead (but revived thankfully), and then spent 6 months in the combat hospital in Afghanistan. Lots of death in a short period of time. The Chaplains have always been my go-to when I just want to sit down and talk for a bit. Some really outstanding people and an amazing resource. I've never met a "bad/substandard chaplain". They've all seemed to really care about the soldiers and I think that they're probably one of the best resources we have for PTSD. To see a psych doc (at least where I'm at) you're talking about having to make an appointment often a week plus in advance, whereas you can almost always pop into the chaplain's office.

Too many to count now.

There are chaplains for all recognized religions as a whole but not one chaplain for each individual group. There are many religions that do not have a religious leader such as a priest that the Army recognizes such as Atheist and Agnostic.
Christianity alone has 35 different subgroups such as Methodist, Protestant, Lutheran, etc.... So you can see that it would not be cost effective to have that many chaplains.