Holding Ctrl (command in Macintosh) while creating the bounding box temporarily toggles the selection mode to the other setting.
Bounding Box
By touching mode
By fully enclosing mode
See Also
Selecting Objects
Changing the Default Selection Mode
Selecting Objects Using the Select Tool
Selecting Objects within an Effect
Selecting Objects Using Tab
Selecting Similar Objects
Selecting Objects with the Same Color
Selecting Objects Based on Attributes
Selecting Objects Using DesignEditor
Selecting All Objects
Deselecting All Objects
Inverting a Selection