How many elements in one column are linked to an element other column?

Consider I have two tables

Courses            Program
---------------------------
course_ID          program_id
course_title       program_name   
program_ID     

Now, I want to check no of courses(by course_id) offered by each program (program_id).

select c.program_id ,p.program_name, count(course_id)
from courses c
join Program p on c.Program_id =p.Program_id
group by program_id,program_name