count out vs eliminate

count out

verb
  • To exclude; to dismiss from participation or eligibility. 

  • To declare adjourned, as a sitting of the House, when it is ascertained that a quorum is not present. 

  • To determine that a competitor has lost a match, by a referee's enumeration aloud of the increments of time for which the competitor has been incapacitated. 

  • To prevent the accession of (a legitimately elected person) to office, by a fraudulent return or count of the votes. 

  • To enumerate items while organizing or transferring them. 

eliminate

verb
  • To exclude (from investigation or from further competition). 

  • To kill (a person or animal). 

  • To completely remove, get rid of, put an end to. 

  • To record amounts in a consolidation statement to remove the effects of inter-company transactions. 

  • To excrete (waste products). 

How often have the words count out and eliminate occurred in a corpus of books? (source: Google Ngram Viewer )