What is the meaning of distinction?

noun

• A discrimination between things as different and distinct.
  • usage: "it is necessary to make a distinction between love and infatuation"
  • synonyms: differentiation
• High status importance owing to marked superiority.
  • usage: "a scholar of great eminence"
  • synonyms: eminence, preeminence, note
• A distinguishing quality.
  • usage: "it has the distinction of being the cheapest restaurant in town"
• A distinguishing difference.
  • usage: "he learned the distinction between gold and lead"