Data binding in WinForms allows you to establish a link between a data source, such as a database or a collection, and a control that can display data. The DataGridView control is used to display and edit tabular data and is commonly used for data binding in WinForms applications.

The correct option is "Add". When adding a new row to a DataTable in a dataset, the common method used is the Add method of the DataRow collection.

In ADO.NET, the methods Open() and Dispose() are used to respectively establish and release connections. The Open() method opens a connection to a data source, while the Dispose() method releases the resources used by the connection.

The correct option is Observer pattern. In this scenario, where real-time updates are needed in the UI, the Observer pattern would be suitable. The Observer pattern allows objects to subscribe to changes in other objects and receive notifications when those changes occur. This enables real-time updates in the UI whenever changes happen in the database, ensuring synchronization between the database and the UI. Two-way data binding allows updates from UI to data source and vice versa, but it might not provide real-time updates. One-way data binding only updates the UI from the data source, and Three-way data binding is not a standard concept in ADO.NET.

The DataGrid control in ADO.NET is primarily used for displaying data in a tabular format. It allows users to view data retrieved from a data source, such as a database, in a structured grid layout. This makes it easier for users to visualize and interact with the data.

DataGrid and DataGridView controls are commonly used in the .NET Framework platform. They are part of the Windows Forms technology used for building desktop applications in languages such as C# or VB.NET.

The SubmitChanges method in LINQ to SQL is used to commit changes made to objects in the DataContext to the associated database. This method ensures that changes are saved to the database.

In ADO.NET, you can execute a stored procedure using the ExecuteNonQuery method of the SqlCommand object. ExecuteNonQuery is typically used for executing commands that do not return any result set, such as INSERT, UPDATE, DELETE, or for executing stored procedures that do not return result sets.

The Sort property of a DataView is significant as it specifies the order in which the data rows are displayed. This property allows you to sort the DataView's rows based on the values of one or more columns, either in ascending or descending order, providing control over the presentation of data.

LINQ to Objects is specifically designed for querying in-memory data structures such as lists, arrays, and other collections. It allows developers to use LINQ query expressions to manipulate and retrieve data from these data structures efficiently.