in a bind vs in it

in a bind

prep
  • In a difficult situation, usually of one's own making; having a dilemma; faced with a problem or a set of problems for which there is no easy solution. 

in it

prep
  • In trouble. 

  • Taking part in something, such as a lottery. 

  • Having an expected payout or reward. 

  • Getting on successfully, especially in a game. 

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