dilemma vs trouble

dilemma

noun
  • A difficult circumstance or problem. 

  • A type of syllogism of the form "if A is true then B is true; if C is true then D is true; either A or C is true; therefore either B or D is true". 

  • A circumstance in which a choice must be made between two or more alternatives that seem equally undesirable. 

  • Offering to an opponent a choice between two (equally unfavorable) alternatives. 

trouble

noun
  • A difficulty, problem, condition, or action contributing to such a situation. 

  • A fault or interruption in a stratum. 

  • A malfunction. 

  • A violent occurrence or event. 

  • Efforts taken or expended, typically beyond the normal required. 

  • Liability to punishment; conflict with authority. 

  • Wife. Clipping of trouble and strife. 

  • A distressing or dangerous situation. 

verb
  • In weaker sense: to bother or inconvenience. 

  • To mentally distress; to cause (someone) to be anxious or perplexed. 

  • To worry; to be anxious. 

  • To take pains to do something. 

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