barrenness vs futility

barrenness

noun
  • The property of being barren; the property of not supporting life. 

futility

noun
  • The quality of being futile or useless. 

  • Something, especially an act, that is futile. 

  • Unimportance. 

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