incongruity vs inexplicability

incongruity

noun
  • The state of being incongruous, or lacking congruence. 

  • A thing that is incongruous. 

  • An instance or point of disagreement 

inexplicability

noun
  • The state of being difficult to account for; the state of being inexplicable. 

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