Are these two formulas logically equivalent?

Question

So I was trying this practice exercises.

There is a student in this class who has taken every course offered by one of the departments in this

school.

I thought of this answer.

My Answer

However, the right answer is the one below. Are there logically equivalent? Correct answer

I am not sure if these answers mean the same thing. Could somebody explain why or why not?

Thanks a lot for your time and effort !