problem vs puzzle

problem

noun
  • A puzzling circumstance. 

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

  • 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. 

puzzle

noun
  • The state of being puzzled; perplexity. 

  • Anything that is difficult to understand or make sense of. 

  • A riddle. 

  • A game for one or more people that is more or less difficult to work out or complete. 

  • A jigsaw puzzle. 

  • A crossword puzzle. 

verb
  • To think long and carefully, in bewilderment. 

  • To perplex, confuse, or mystify; to cause (someone) to be faced with a mystery, without answers or an explanation. 

  • To make intricate; to entangle. 

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