The name for all of the different kinds of organisms in an ecosystem is biodiversity.

Here's why:

* Biodiversity refers to the variety of life on Earth. It encompasses the different species, ecosystems, and genetic variation within species.

* Ecosystem is a community of living organisms (biotic) and their physical environment (abiotic) interacting as a functional unit.

* Organisms are individual living things.

So, biodiversity encompasses the variety of organisms within an ecosystem.