Gordian knot vs predicament

Gordian knot

noun
  • Any intricate and complex problem having a simple solution. 

  • The legendary knot tied to a pole near the temple of Zeus in Gordium. 

predicament

noun
  • An unfortunate or trying position or condition. 

  • A definite class, state or condition. 

  • That which is predicated; a category. 

How often have the words Gordian knot and predicament occurred in a corpus of books? (source: Google Ngram Viewer )