count out vs figure on

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. 

figure on

verb
  • To account for or rely on a particular fact or notion; to calculate (something) using a set of facts. 

  • To plan or expect (something). 

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