In the Dominion war was it ever established just how many Starships the Federation had, and how many of each class were available at the height of the conflict. The same question applies for the Klingons, Romulans, Cardissians, Breen and the Jem-Hadar...
Resistance is Futile
federation has about 10 fleets, each fleet having around 300-320 warships.
As to ship classes, wow, hard to guess.
I am guessing here,
300-320 Galaxy Class
250-300 Akira Class
30-50 Defiant class
200-300 Intrepid Class (Voyager)
200-400 Ambassador Class
200-400 Excelsior Class
and many other classes
I would doubt this very much. My own thinking was more along the lines of (in a single fleet)
3 to 5 Galaxy class (possibly with a Sovereign or two)
5 to 10 Akira class
1 to ?? Defiant class (we only ever saw the actual
Defiant flying aroun, but I would bet its small size toughness and agility made it a preferred deep-penetration scout and recon ship)
1 to 5 Intrepid class (Admiral Ross used one as his flagship so who knows?)
5 to 10 Steamrunner class (I hate this design more than words can say)
5 to 10 Norway class (I hate this design even more)
5 to 10 Ambassador class
10 to 20 Excelsior class
10 to 20 Constellation class
20 to 30 Miranda class
50 to 100 Fighters
Now of course it gets tricky, because in some fleets you would substitute some of the Ambassadors for New Orleans or Nebulas, Whatever class ship, some of the Excelsiors for Centaurs, some of the Mirandas for Constitutions or Oberths or even extra Constellations, and so on and so forth. In all every fleet size will be between 115 and 200 ships, about half of which are fighters. Naturally, as the war got more and more desperate you'd see more and more fighters, more and more older designs being pulled out of places like Qualor-II with crews of a dozen or more, run mostly by automation.
In any case, the 7th fleet lost 98 ships in a single engagement; Bashir doesn't tell them exactly which ships made it back, but considering nobody seems to care
which ships made it back (were they the fourteen biggest ships in the fleet or two Mirandas with skeleton crews and a handful of fighters?) it doesn't seem to matter, because the effect is that the fleet is basically massacred and whatever's left is just a remnant anyway. So if you assume all ten or twelve Starfleet battle groups have full ranks at the start of the war, we're talking--at maximum--two thousand capital ships and probably a huge number of fighters and runabouts. And even in this case, prevalence of fighters is probably a reaction to the Jem'Hadar bug ships that themselves aren't much bigger than Maquis raiders.