tough nut to crack vs tough one

tough nut to crack

noun
  • A situation, person, group, etc. which is difficult to deal with. 

  • A place, opportunity, etc. to which it is difficult to gain entry. 

  • An amount that is difficult to finance. 

  • A problem that is challenging to solve. 

tough one

How often have the words tough nut to crack and tough one occurred in a corpus of books? (source: Google Ngram Viewer )