difference vs distinction

difference

noun
  • The quality of being different. 

  • The result of a subtraction; sometimes the absolute value of this result. 

  • A disagreement or argument. 

  • An addition to a coat of arms to distinguish two people's bearings which would otherwise be the same. See augmentation and cadency. 

  • A characteristic of something that makes it different from something else. 

  • The quality or attribute which is added to those of the genus to constitute a species; a differentia. 

  • The set of elements that are in one set but not another ( scriptstyle A◌̅B). 

  • Significant change in or effect on a situation or state. 

  • A Boolean operation which is true when the two input variables are different but is otherwise false; the XOR operation ( scriptstyle A◌̅B+◌̅AB). 

distinction

noun
  • Specifically, a feature that causes someone or something to stand out as being better; a mark of honour, rank, eminence or excellence; being distinguished. 

  • That which distinguishes; a single occurrence of a determining factor or feature, the fact of being divided; separation, discrimination. 

  • The act of distinguishing, discriminating; discrimination. 

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