A database is a systematic collection of data. They support electronic storage and manipulation of data. Databases make data management easy.
Or, Database, also called electronic database, is any collection of data, or information, that is specially organized for rapid search and retrieval by a computer. Databases are structured to facilitate the storage, retrieval, modification, and deletion of data in conjunction with various data-processing operations. A database management system (DBMS) extracts information from the database in response to queries.
Example:
DB2, MySQL, Oracle, PostgreSQL, SQLite, MS SQL Server, MS Access DB, Sybase.
MongoDB is a document-oriented NoSQL database used for high volume data storage.
A database management system (DBMS) is software to create and manage databases, allowing users to create, read, update and delete data in a database.