If I recall correctly they can be told apart by their calls, Carnaby's is "karak", Baudin's is "William", which I found hard to believe until I heard them in Dryandra, and that is exactly what it sounds like. Numbers are declining there because of introduced bees taking the best nesting sites.
the ones at Dryandra are Carnaby's. The two species do have different calls but you need to be familiar with the calls (i.e. with actual experience) to actually tell them apart definitively.
Did I get to the wrong way round then? Sadly I was under the impression that I had seen both species in the wild.
this is a very useful page for identifying the two species which I used when I was there last year: Leeuwin Current Birding: ID Feature: White-tailed Black-Cockatoos There's a section in there on voice. Don't feel bad if you didn't see both species -- you saw a numbat which is infinitely better! They are jolly hard to find nowadays!
I can now make that 45 in captivity, and I forgot I saw wild Kaka at Zealandia and Mt Bruce. Hix Golden White-eye (Honolulu Zoo, 2012)
very cool. I wouldn't have expected to see that in Hawaii! Interestingly, this species was originally placed within the honeyeaters.
Apparently six zoos have received the species to breed up numbers in captivity (according to Wikipedia). Honolulu may have been chosen because it's an island at a similar latitude to the Marianas. Hix