perplexity vs tough proposition

perplexity

noun
  • The state or quality of being perplexed; puzzled or confused. 

  • Something that perplexes. 

  • In information theory, a measurement of how well a probability distribution or model predicts a sample. 

tough proposition

How often have the words perplexity and tough proposition occurred in a corpus of books? (source: Google Ngram Viewer )