contrary vs like chalk and cheese

contrary

adv
  • Contrarily 

noun
  • One of a pair of propositions that cannot both be simultaneously true, though they may both be false. 

  • The opposite. 

adj
  • Opposite; in an opposite direction; in opposition; adverse. 

  • Opposed; contradictory; inconsistent. 

  • Given to opposition; perverse; wayward. 

like chalk and cheese

How often have the words contrary and like chalk and cheese occurred in a corpus of books? (source: Google Ngram Viewer )