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The DataGridViewComboBoxCell.DisplayStyle property affects the appearance of the cell when it is not in edit mode, and regardless of whether it is read-only. When the cell is in edit mode, it always looks like a System.Windows.Forms.ComboBox control.
If the DataGridViewComboBoxCell.DisplayStyleForCurrentCellOnly property value is true, the DataGridViewComboBoxCell.DisplayStyle property affects the cell only when it is the current cell.
The behavior and appearance of the drop-down arrow is indicated by the DataGridViewComboBoxCell.FlatStyle property.
To enable cell highlighting when the mouse pointer is over the cell, you must set the DataGridViewComboBoxCell.DisplayStyle property to DataGridViewComboBoxDisplayStyle.ComboBox and the DataGridViewComboBoxCell.FlatStyle property value to FlatStyle.Popup.
Setting the DataGridViewComboBoxColumn.DisplayStyle property of the owning column also sets the DataGridViewComboBoxCell.DisplayStyle property of every cell in the column and refreshes the column display. To override the specified value for individual cells, set the cell values after you set the column value.