Trim is not the word one would use and I’m not sure about cabin either. Is the thing being used something that can travel with someone? A cabin is a permanent structure.

I think you can remove "a" and just say tense amusement. Tense is not a word I would ever associate with amusement, but I suppose it would mean strong or intense.

The sentence does not fully make sense as it is currently written. A teacher does not “take up” a student. If you mean that the teacher wanted to work with the student, then you might say: The young man was so lucky to have been selected to study with such a famous pianist. To have gotten support, you might say: The young man was so lucky to have been supported by such a famous pianist. Or for a recommendation, one might say: The young man was so lucky to have received a recommendation from such a famous pianist.

They do not have the same meaning. Furthermore the first sentence does not work as a sentence, the meaning is unclear.

Money Money might have some advantage over other factors in achieving happiness, but ultimately it is equal to those factors in that it does not guarantee happiness.

My favourite food is burgers and steak Because I like beef

I think is the greatest invention in the history is the internet and smart phone. Then transportation is a best invention.

The most interesting thing about my last trip was the picnic I had every morning with my sisters and brothers in the garden .