different between bafflement vs perplexity

English

From baffle +? -ment.

bafflement (countable and uncountable, plural bafflements)

(uncountable) The state or result of being baffled, puzzled, or confused.
- He made a gesture of bafflement.
  "None whatever—it's beyond me," he confessed.
- 2008, Chris Rojek, Brit-Myth: Who Do the British Think They Are?, Reaktion Books (?ISBN)
  The error here is to confuse British composure with the appearance of bafflement, embarrassment and reserve.
(countable) Something that causes a state of confusion or puzzlement.
- 2005 Dec. 16, Josh Tyrangiel, "Best of 2005: Music," Time:
  The cartoon characters on the front cover, the irritatingly meaningless track names . . . make it seem like a concept album about global warming for kids. Since the lyrics remain a bafflement, it might well be.

perplex +? -ity, from Middle French perplexité or post-classical Latin perplexitas ‘entanglement’, from perplexus.

perplexity (countable and uncountable, plural perplexities)

The state or quality of being perplexed; puzzled or confused.
Something that perplexes.
- 1942, Rebecca West, Black Lamb and Grey Falcon (Canongate 2006), page 149:
  The Emperor, who was by then a focus of unresolvable perplexities, stood providing a strongly contrary appearance.
In information theory, a measurement of how well a probability distribution or model predicts a sample.

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