noun, plural perplexities.
the state of being perplexed; confusion; uncertainty.
something that perplexes: a case plagued with perplexities.
a tangled, involved, or confused condition or situation.

1350–1400; Middle English perplexite < Old French < Late Latin perplexitās, equivalent to Latin perplex(us) (see perplexed) + -itās -ity Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
perplexity (pəˈplɛksɪtɪ)
n , pl -ties
1.  the state of being perplexed
2.  the state of being intricate or complicated
3.  something that perplexes

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Word Origin & History

c.1300, from L.L. perplexitas, from L. perplexus "confused, involved," from per- "completely" + plexus "entangled," pp. of plectere "to twine."
Online Etymology Dictionary, © 2010 Douglas Harper
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Computing Dictionary

perplexity definition

The geometric mean of the number of words which may follow any given word for a certain lexicon and grammar.

The Free On-line Dictionary of Computing, © Denis Howe 2010
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Example sentences
But in the four days since astronomers here discovered this new supernova, its
  behavior has caused growing scientific perplexity.
Sonnets that on first reading make prosaic sense can fall into perplexity on
  growing acquaintance.
The early opening of the season enabled the dealers to do a large business
  before the present perplexity arose.
Life coaches offer to help with the perplexity of bigger choices.
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