in·ter·col·le·giate /ˌɪntɚ/
  (a.)大學間的,大學間聯合的,大學間對抗的
  In·ter·col·le·gi·ate a. Existing or carried on between colleges or universities; as, intercollegiate relations, rivalry, games, etc.
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  intercollegiate
       adj : used of competition between colleges or universities;
             "intercollegiate basketball"