no way vs no ways

no way

noun
  • Used other than figuratively or idiomatically: see no, way.; not any possibility. 

intj
  • Indicates astonished disbelief. 

  • Absolutely not; under no circumstances. 

no ways

noun
  • Synonym of no way 

intj
  • Synonym of no way (“indicates astonished disbelief”) 

  • Synonym of no way (“absolutely not”) 

How often have the words no way and no ways occurred in a corpus of books? (source: Google Ngram Viewer )