Question

I am confused don't know how to wire this room

Answer 1

invisible rooms are difficult to wire. However, using invisible wiring and components, you can complete the job without ever seeing it.

Answer 2

luis1253 you posted the image (question) in another question here is the image for your question.

Answer 3

Probably should include an image of the "cable layout" Fig. 8-7. Because the problem is asking for only the "lighting" circuit, yet the figure you show does include several outlets that should be on a separate circuit breaker. Confusing to say the least. Thanks to Jose4L for providing the image.

Answer 4

I only see two lights that are to be wired, one by itself the other associated with the fan. Based on the assumption that only the lights are to be wired, this could work.
The fuse would be labeled "Lights" and as wired only protects the light circuit, note that the switches are in the "hot" wire as you should not use switches in the neutral wire. Only the lights are hooked up. The light associated with the fan is independent of the other light or fan motor (which is left out as it was not apparently a requirement for this portion of the problem.