count out vs put on back burner

count out

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

  • To exclude; to dismiss from participation or eligibility. 

  • 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. 

put on back burner

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