public   void  init()
{
	JList list =  new  JList( new  String[] {"1", "2", "3", "4", "5","6","7","8","9","10","11"});
	JPanel panel =  new  JPanel();
	JButton button =  new  JButton("button");
	
	panel.setLayout( new  BorderLayout());
	panel.add(BorderLayout.CENTER, list);
	panel.add(BorderLayout.NORTH, button);
	panel.setSize( new  Dimension( 500 ,  500 ));
	
	JScrollPane scrollPane =  new  JScrollPane(panel);
	scrollPane.setHorizontalScrollBarPolicy(JScrollPane.HORIZONTAL_SCROLLBAR_AS_NEEDED);
	scrollPane.setVerticalScrollBarPolicy(JScrollPane.VERTICAL_SCROLLBAR_AS_NEEDED);		
		
	getContentPane().add(scrollPane);
}

<applet code = "ScrollApplet" width = "50" height = "100">
</applet>