institution vs varsity

institution

noun
  • A mental institution. 

  • Any long established and respected place or business. 

  • The act of instituting something. 

  • A custom or practice of a society or community. 

  • The building or buildings which house such an organization. 

  • A person long established in a place, position, or field. 

  • A long established and respected organization, particularly one involved with education, public service, or charity work. 

  • The act by which a bishop commits a cure of souls to a priest. 

varsity

noun
  • university 

  • The principal sports team representing an institution (usually a high school, college, or university.) 

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