show someone the door vs throw out

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. 

throw out

verb
  • To dismiss or expel someone from any longer performing duty or attending somewhere. 

  • To offer an idea for consideration. 

  • To produce in a haphazard fashion. 

  • To emit. 

  • To cause or experience debilitating muscle or joint pain in (a body part). 

  • To put into a state of confusion. 

  • To cause to project. 

  • To utter carelessly. 

  • To outdistance; to leave behind. 

  • To discard; to dispense with something; to throw away. 

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