Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE department ( dept_name VARCHAR )
TABLE: CREATE TABLE instructor ( dept_name VARCHAR, id VARCHAR )
TABLE: CREATE TABLE student ( id VARCHAR, dept_name VARCHAR )

### Question ###
Find the total number of students and total number of instructors for each department.

### Accurate SQL ###

SELECT COUNT(DISTINCT T2.id), COUNT(DISTINCT T3.id), T3.dept_name FROM department AS T1 JOIN student AS T2 ON T1.dept_name = T2.dept_name JOIN instructor AS T3 ON T1.dept_name = T3.dept_name GROUP BY T3.dept_name