In order for a table to be extended, which option must be selected?

For a table to be extended in ServiceNow, the option that must be selected is "Extensible." This setting allows developers to create new tables that inherit the characteristics and functionality of an existing table. When the extensibility option is enabled, developers are able to create a new table that draws from the properties of the base table, including fields, relationships, and business rules, which streamlines the development process and promotes consistency across applications.

The other options do not directly pertain to the ability to extend a table. Being "Editable" pertains to whether records can be modified, "Public" relates to visibility and access rights for users, and "Managed" is more about how the table is maintained within the platform rather than its ability to be extended. Therefore, the "Extensible" option is fundamental for creating a hierarchy of tables within ServiceNow, allowing customized development while still utilizing the foundational characteristics of the base table.