What is the correct pronunciation and etymology of "corps"?
Solution 1:
"Corps" and "corpse" both have the same ultimate origin in Latin "corpus" (body).
The former derives from the Latin via Medieval French, as far as I know. The French pronunciation "korr" (or slightly Anglicised to "kohr" or even "kore") is thus the historically correct pronunciation.
Pronouncing it in any way ending with an "s" is not advisable. It certainly won't give others the impression that you're educated. (Worst of all is "corpse" - please never say it like that.)
Solution 2:
Corps, which is pronounced like "core," and corpse are two entirely different words, and I have never heard anyone pronounce them the same way. I've never heard anyone say Army "corpse" for example.