problem vs solution

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. 

solution

noun
  • An answer to a problem. 

  • A homogeneous mixture, which may be liquid, gas or solid, formed by dissolving one or more substances. 

  • An act, plan or other means, used or proposed, to solve a problem. 

  • A product, service or suite thereof, especially software. 

  • The act of dissolving, especially of a solid by a fluid; dissolution. 

verb
  • To treat with a solution. 

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