Diverse is a synonym of various, both being the root words of diversity and variety. You can use both interchangeably.
(synonym meaning they mean pretty much the same thing)

It's not uncommong to hear Diversity in more of a multi-cultural context, although you can use it in the same places as variety.

A section is a chosen set much like Nick(russian keyboard switch no want to work) said.

Within a diversity(variety) of items you pick(choose) your selection.