The number of entity classes involved in a relationship is known as the relationships ________.

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When an entity class has a relationship with itself it is called a?

It is possible for an entity to have a relationship with itself; for example, an entity Staff could have a relationship with itself, as one member of staff could supervise other staff. This is known as a recursive or involute relationship, and would be represented in an entity-relationship diagram as shown below.
In a relational database a relationship between entities is implemented by storing the primary key of one entity as a pointer or "foreign key" in the table of another entity. There is a tradition for ER/data models to be built at two or three levels of abstraction.

What is the greatest number of instances of one entity that can relate to a single instance of another entity?

the maximum number of entities that can be involved in a relationship. Maximum cardinality is typically represented as being either 1:1 (one-to-one), 1:N (one-to-many), N:1 (many-to-one), or M:N (many-to-many). The minimum number of instances of one entity that may be associated with each instance of another entity.

What is a representation of the content relationships and constraints of the data needed to support the system requirements?

The representation of the content, relationships, and constraints of the data needed to support the system requirements is the: data model.