down and out vs down for the count

down and out

adj
  • In a condition of poverty or debility, especially as a result of experiencing a financial or personal setback. 

down for the count

adj
  • Decisively beaten; defeated; rendered irrelevant for the long term. 

  • Unconscious or sound asleep. 

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