give notice vs give someone the heave-ho

give notice

verb
  • To announce one's intent to leave a job; to inform an employer that one is leaving. 

  • Used other than figuratively or idiomatically: see give, notice. 

give someone the heave-ho

verb
  • To fire, expel or break up with someone. 

  • To eject a player or manager from the game. 

How often have the words give notice and give someone the heave-ho occurred in a corpus of books? (source: Google Ngram Viewer )