moot point vs problem

moot point

noun
  • An issue that is subject to, or open for, discussion or debate, to which no satisfactory answer is found; originally, one to be definitively determined by an assembly of the people. 

  • An issue regarded as potentially debatable, but no longer practically applicable. Although the idea may still be worth debating and exploring academically, and such discussion may be useful for addressing similar issues in the future, the idea has been rendered irrelevant for the present issue. 

problem

noun
  • A difficulty that has to be resolved or dealt with. 

  • A puzzling circumstance. 

  • A set of moves required to complete a climb. 

  • A question to be answered, schoolwork exercise. 

  • Objection. 

  • Difficulty in accepting or understanding or refusal to accept or understand. 

adj
  • Causing a problem; problematic; troublesome. 

  • Difficult to train or guide; unruly. 

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