I'm completely fine with both these sentences:
I am sure of my brother's passing the exam.
I am sure of my brother passing the exam.
So I suppose it's OK to use "his + Ving" or "him + Ving" in this kind of sentences.
However, when it comes to the following:
(a) The advantage of college students taking a part-time job is ...
(b)The advantage of college students' taking a part-time job is ...
Sentence (b) sounds extremely weired to me.
The advantage of my car is...
sounds completely fine, but doesn't it have the same sentence structure as (b)?
Is (b) correct?