In an Entity-Relationship Diagram (ERD), cardinalities define the relationships between entities. Common cardinalities include:
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One-to-One (1:1) - Each entity in set A is related to one entity in set B and vice versa.
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One-to-Many (1:N) - An entity in set A can relate to multiple entities in set B, but an entity in set B relates to only one in set A.
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Many-to-One (N:1) - Multiple entities in set A can relate to one entity in set B.
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Many-to-Many (M:N) - Entities in set A can relate to multiple entities in set B and vice versa.
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Zero or One (0..1) - An entity may or may not have a relationship with another entity.
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Zero or Many (0..N) - An entity can have no relationship or many relationships with another entity.
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Exactly One (1) - An entity must have exactly one relationship with another entity.
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At Least One (1..N) - An entity must have at least one relationship but can have many.
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At Most One (0..1) - An entity can have no relationship or one relationship, but not more.
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Optional (0..M) - An entity may have zero or more relationships with another entity.
These cardinalities help in modeling the data structure and understanding the interactions between different entities.