oust vs show someone the door

oust

verb
  • To expel; to remove. 

show someone the door

verb
  • To escort someone to the exit of the premises; to expel someone from a room, gathering, etc. 

  • To dismiss, fire, or reject; to exclude someone who was formerly included. 

How often have the words oust and show someone the door occurred in a corpus of books? (source: Google Ngram Viewer )