ambiguity vs open and shut case

ambiguity

noun
  • words or statements that are open to more than one interpretation, explanation or meaning, especially if that meaning cannot be determined from its context. 

  • The state of being ambiguous. 

open and shut case

noun
  • A problem with an easy solution. 

How often have the words ambiguity and open and shut case occurred in a corpus of books? (source: Google Ngram Viewer )