Using an equivalence partitioning or equivalence class validation method, which of the following test cases are run to cover the requirement below?

An input requires at least $2$ names but no more than $4$ names.

A$.3$ names to test the invalid equivalence class median input.

B$.2$ names and $4$ names to test valid boundary equivalence classes.

C$.$ All numbers of $2$ names, $3$ names and $4$ names to test all valid equivalence classes.

D$.$ Fewer than $2$ names and greater than $4$ names to test invalid equivalence classes.

E$.2$ names or $4$ names to test a valid equivalence class.