For a table, we can set its selection mode: select one row or consecutive rows at a time, or any consecutive rows. We can also set the selection model for its columns.
Create table first

JTable table=new JTable();

For row selection, you should call
getSelectionModel().setSelectionMode(model); function
Where model is the selection mode defined by ListSelectionModel interface:

For column selection, you should call

setColumnSelectionAllowed(boolean columnSelectionAllowed) method, which is disabled by default.

Here is an example:

package cn.com;

import java.awt.BorderLayout;
import java.awt.Dimension;
import java.awt.FlowLayout;
import java.awt.Font;
import java.awt.GridLayout;
import java.awt.event.ActionEvent;
import java.awt.event.ActionListener;
import java.awt.event.WindowAdapter;
import java.awt.event.WindowEvent;

import javax.swing.ButtonGroup;
import javax.swing.JCheckBox;
import javax.swing.JFrame;
import javax.swing.JLabel;
import javax.swing.JPanel;
import javax.swing.JRadioButton;
import javax.swing.JScrollPane;
import javax.swing.JTable;
import javax.swing.ListSelectionModel;
import javax.swing.table.DefaultTableModel;
import javax.swing.table.JTableHeader;



public class TableSelectModeTest extends JFrame 
{
	private JTable table;
	private JRadioButton[] radioButtons ;	//Radio
	private JCheckBox checkBox ;			//check box
	private ButtonGroup buttonGroup ;
	
	@SuppressWarnings("serial")
	public void init()
	{
		/*
		 * Initialize member variables
		 */
		String[] radioButtonString =new String[] {"Single row","Continuous multiple rows","Arbitrary rows"};
		this.radioButtons=new JRadioButton[radioButtonString.length];
		this.buttonGroup=new ButtonGroup();
		for (int i=0; i<radioButtonString.length; i++)
		{
			this.radioButtons[i]=new JRadioButton(radioButtonString[i]);
			this.radioButtons[i].addActionListener(new ActionListener() {
				
				@Override
				public void actionPerformed(ActionEvent e) {
					do_radioButtons_actionPrformed(e,radioButtonString);
					
				}
			});
			this.buttonGroup.add(this.radioButtons[i]);
			
		}
		this.checkBox=new JCheckBox("Disable column selection");
		this.checkBox.addActionListener(new ActionListener() {
			
			@Override
			public void actionPerformed(ActionEvent e) {
				do_checkBox_actionPrformed(e);
				
			}
		});

		this.table=new JTable(new DefaultTableModel() {
			@Override 
			public boolean isCellEditable(int rows,int column)
			{
				return false;
			}
		});
		this.table.setRowHeight(30);
		
		this.addWindowListener(new WindowAdapter() {
			@Override
			public void windowOpened(WindowEvent e)
			{
				do_windowOpened(e);
			}
			
		});
		
		
		
		/*
		 * Window panel settings
		 */
		JScrollPane  scrollPane =new JScrollPane();
		scrollPane.setViewportView(this.table);
		
		JPanel panel1=new JPanel(new GridLayout(2, 1,5,5));
		JPanel panel2=new JPanel(new FlowLayout(FlowLayout.CENTER, 7, 7));
		JPanel panel3=new JPanel();
		
		JLabel label1=new JLabel("Row selection mode:");
		label1.setFont(new Font("Microsoft YaHei",Font.PLAIN,15));
		panel2.add(label1);
		for (JRadioButton radioButton: this.radioButtons)
		{
			panel2.add(radioButton);
		}
		panel3.add(this.checkBox);
		panel1.add(panel2);
		panel1.add(panel3);
		
		this.add(scrollPane,BorderLayout.CENTER);
		this.add(panel1,BorderLayout.SOUTH);
		
		/*
		 * Set window properties
		 */
		this.setTitle("Set the selection mode of the table");
		this.setSize(600,300);
		this.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
		this.setLocationRelativeTo(null);
		this.setResizable(false);
		this.setVisible(true);
		
	}
	/*
	 * Radio button listening function
	 */
	protected void do_radioButtons_actionPrformed(ActionEvent e,String[] radioButtonString)
	{
		String actionString =e.getActionCommand();
		if (actionString.equals(radioButtonString[0]))
		{
			this.table.getSelectionModel().setSelectionMode(ListSelectionModel.SINGLE_SELECTION);
		}
		else if (actionString.equals(radioButtonString[1]))
		{
			this.table.getSelectionModel().setSelectionMode(ListSelectionModel.SINGLE_INTERVAL_SELECTION);
		}
		else if (actionString.equals(radioButtonString[2]))
		{
			this.table.getSelectionModel().setSelectionMode(ListSelectionModel.MULTIPLE_INTERVAL_SELECTION);
		}
	}
	protected void do_checkBox_actionPrformed(ActionEvent e)
	{
		if (this.checkBox.isSelected())
		{
			this.checkBox.setText("Enable column selection");
			this.table.setColumnSelectionAllowed(true);
		}
		else
		{
			this.checkBox.setText("Disable column selection");
			this.table.setColumnSelectionAllowed(false);
		}
	}
	
	protected void do_windowOpened(WindowEvent e)
	{
		/*
		 * Initialize table
		 */
		DefaultTableModel defaultTableModel=(DefaultTableModel) this.table.getModel();
		defaultTableModel.setColumnIdentifiers(new Object[] {"Title", "Press", "Publishing time", "Series category", "Price" });
		defaultTableModel.addRow(new Object[] { "Java From introduction to mastery (2nd Edition)", "tsinghua university press ", "2010-07-01", "Introduction series of software engineers", "59.8 element" });
		defaultTableModel.addRow(new Object[] { "PHP From introduction to mastery (2nd Edition)", "tsinghua university press ", "2010-07-01", "Introduction series of software engineers", "69.8 element" });
		defaultTableModel.addRow(new Object[] { "Visual Basic From introduction to mastery (2nd Edition)", "tsinghua university press ", "2010-07-01", "Introduction series of software engineers", "69.8 element" });
		defaultTableModel.addRow(new Object[] { "Visual C++From introduction to mastery (2nd Edition)", "tsinghua university press ", "2010-07-01", "Introduction series of software engineers", "69.8 element" });
		
		this.table.setModel(defaultTableModel);
		
		JTableHeader header=this.table.getTableHeader();
		header.setFont(new Font("Microsoft YaHei",Font.PLAIN,20));
		header.setPreferredSize(new Dimension(header.getWidth(),25));
		
	}
	
	
	
	public TableSelectModeTest()
	{
		init();
	}
	
	public static void main(String args[])
	{
		TableSelectModeTest winTableSelectModeTest =new TableSelectModeTest();
	}

}

Let's see the effect: