Create a combobox with multiple checkbox

I have read the doc and tutorial, and searchd here, to no avail.

Oracle tutorial: how to use custom render for ComboBox

Another question similar with a somehow vague answer

And I see it important because many people asked about it but no one can provide a simple, workable example. So I must ask it myself:

How can we make a combobox with a drop-down menu, allowing us to choose more than one options?

What is not working:

• JList proved to be useless here, because I cannot make it appear in the drop-down menu.
• There's no CheckBoxList in Swing.

I have done a SCCEE with checkbox in drop-down menu of a combo, but the checkboxes refuse to be selected, the check in the box is missing.

How can we achieve that?

import java.awt.Component;
import java.awt.event.ActionEvent;
import java.awt.event.ActionListener;
import java.awt.event.FocusEvent;
import java.awt.event.FocusListener;
import java.util.List;

import javax.swing.DefaultCellEditor;
import javax.swing.DefaultListModel;
import javax.swing.DefaultListSelectionModel;
import javax.swing.JCheckBox;
import javax.swing.JComboBox;
import javax.swing.JFrame;
import javax.swing.JLabel;
import javax.swing.JList;
import javax.swing.JPanel;
import javax.swing.JTable;
import javax.swing.ListCellRenderer;
import javax.swing.ListSelectionModel;
import javax.swing.SwingUtilities;
import javax.swing.event.ListSelectionEvent;
import javax.swing.event.ListSelectionListener;
import javax.swing.table.TableColumn;

public class ComboOfCheckBox extends JFrame {



public ComboOfCheckBox() {
    begin();
}

private void begin() {
    setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
    JPanel panel = new JPanel();

    JTable table = new JTable(new Object[2][2], new String[]{"COL1", "COL2"});
    final JCheckBox chx1 = new JCheckBox("Oh");
    final JCheckBox chx2 = new JCheckBox("My");
    final JCheckBox chx3 = new JCheckBox("God");
    String[] values = new String[] {"Oh", "My", "God"};
    JCheckBox[] array = new JCheckBox[] {chx1, chx2, chx3};
    final JComboBox<JCheckBox> comboBox = new JComboBox<JCheckBox>(array) {
        @Override
        public void setPopupVisible(boolean visible){
            if (visible) {
                super.setPopupVisible(visible);
            }
        }
    };

    class CheckBoxRenderer  implements ListCellRenderer {
        private boolean[] selected;
        private String[] items;
        public CheckBoxRenderer(String[] items) {
            this.items = items;
            this.selected = new boolean[items.length];
        }
        @Override
        public Component getListCellRendererComponent(JList list, Object value, int index, boolean isSelected,
                boolean cellHasFocus) {
            JLabel label = null;
            JCheckBox box = null;
            if (value instanceof JCheckBox) {
                label = new JLabel(((JCheckBox)value).getText());
                box = new JCheckBox(label.getText());

            }

            return box;
        }
        public void setSelected(int i, boolean selected) {
            this.selected[i] = selected;
        }

    }

    comboBox.setRenderer(new CheckBoxRenderer(values));




    panel.add(comboBox);

    panel.add(new JCheckBox("Another"));
    getContentPane().add(panel);
    pack();
    setVisible(true);
}
public static void main(String[] args) {
    SwingUtilities.invokeLater(new Runnable() {

        @Override
        public void run() {
            ComboOfCheckBox frame = new ComboOfCheckBox();

        }

    });
}

}