A large university accepts 60​% of the students who apply. Of the students the university​ accepts, ​50% actually enroll. If 20000 students​ apply, how many actually​ enroll?

Out of the 20000 students who apply, the university accepts 60% of them, which is 0.6*20000 = <<0.6*20000=12000>>12000 students.

Out of the students the university accepts, only 50% actually enroll, which is 0.5*12000 = <<0.5*12000=6000>>6000 students. Answer: \boxed{6000}.