First of all...
Patterns are not made up from you or told to you. They were identified by the perception of the problem domain.
If your teacher told you to use pattern X and Y then he made some assumptions you have to know as we have an arbitrary solution space for every problem. The point is: what is his idea and reference to come to this conclusion?
I do not essentially disagree on the suggestions your teacher made. He maybe has gone through a process identifying what patterns he identified on the problem domain.
Do your eyes hold your body or does the body hold your eyes? The assumption I would make is that your body hold your eyes. But that is an arbitrary decision even it seems plausible to me.
Maybe you want to distinguish between your body and your head. Maybe your eyes hold your head? I am convinced vice versa. But that again is an assumption I made.
If you follow this path you may come up with something like this: Your body consists of a head, a torso, two legs, two arms. Your head consists of two eyes, a mouth, one nose, two ears. Both arms consist of a upper arm, a forearm and a hand. A hand consists of 5 fingers. A finger consists of ...
These are all assumptions of MY perception of reality and my way to model it. At some point I omitted details as I do not see them as relevant. I "abstract" from them as they may not be part of the problem to be solved.
If you build up your body like this you come up with a tree structure. A tree structure is properly mapped to the "composite pattern".
If I put on cloths I would first put on a T-Shirt and then a pullover. I could do otherwise even I would feel strange. The same with my underpants and my jeans.
To avoid those "strange" things you introduce the assumption that it matters in which order cloths are put on. This may be a design decision you want to enforce. So you want order in some way. Order can be achieved through a list.
If you put on cloths, jewelry or a wristwatch you "decorate" yourself. A forearm can hold a wristwatch, your ear can hold ear rings, your torso may hold a T-shirt, a pullover AND a jacket in this order.
So every element of your body may have a list of decorations. The thing is that these decorations may overlap AND be composed again. Your trousers can be decorated with a belt and trouser clips. So I guess this will be a tree as well.
To break it down: My model includes a tree structure of the body, a tree structure of decorative elements AND a connection between them. The tree structures can be represented with the composite pattern, the connection between them with the decorator pattern.
It all depends if you can grap the problem domain. You have to identify the structure of it to identifiy patterns. The ability depends on logical thinking and reference points to compare with (e.g. experience and perception of reality).
So my thoughts may differ on different reasons from others. I ...
... may not have a whole understanding of the problem domain
... have a different (maybe wrong) perception of reality on this issue
... introduced artefacts that are irrelevant
... omitted artefacts that are relevant
I strongly recommend to learn the application of design pattern. You should not think about HOW to implement it anymore once you are sure you identified the pattern in your problem domain.