hit each other vs scrimmage

hit each other

scrimmage

noun
  • A rough fight. 

  • In some team sports, especially soccer, a practice game which does not count on a team's record. 

  • In American football or Canadian football, a play that begins with a snap from the center while opposing teams are on either side of a line of scrimmage. 

verb
  • To have, or be involved in, a scrimmage. 

How often have the words hit each other and scrimmage occurred in a corpus of books? (source: Google Ngram Viewer )