cut a hole in vs puncture

cut a hole in

puncture

noun
  • A hole in a vehicle's tyre, causing the tyre to deflate. 

  • The act or an instance of puncturing. 

  • A hole, cut, or tear created by a sharp object. 

verb
  • To pierce; to break through; to tear a hole. 

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