SQL count involving multiple tables -


i have 2 tables.university , universitytype.structure looks this. university

    universityid universityname universitytypeid universitytypename         1            xyz              1                ugc         2            abc              1                ugc         3            lmn              2                nct         4            pqr              3                aict

for universitytype

    universitytypeid  universitytypename           1                ugc           2                nct           3                aict

the universitytype table fixed.now want count of universitytype ugc=2, aict=1, nct=1.now writing this

    select universityid,universitytypeid,universityname      university universitytypeid=:universitytypeid";

but not getting correct result.can tell.i new sql. 

select universitytypeid, count(1)  university universitytypeid=:universitytypeid

or

select universitytypeid, count(1)  university group universitytypeid

or

select universitytypeid, (select count(1)      university universitytypeid = universitytype.universitytypeid)      universitytype

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