Hello.  I am having issues getting radio buttons to appear in a series of tabs created via Dynamic Components.

In short, I am SUCCESSFULLY displaying a list of tabs from my Cars__c object (each tab is showing a unique occurrence of the Type__c value in the Cars__c object).  However, I then want radio button displayed for each car name in the corresponding tab.  Unfortunately, all I am seeing is the tab values - no radio button choices are being shown at all.  Can anyone give me some guidance?

Thanks in advance.  Below is my code - note the section marked where I am having problems.

public with sharing class myController { 

public List<Cars__c> ListA;
public myController()
{
ListA = [SELECT Type__c, name, id FROM Cars__c WHERE Type__c<>null ORDER BY Type__c asc, name asc];
}

public Component.Apex.TabPanel getCarTypeTab()
{

Component.Apex.TabPanel CarTypeTabPanel = new Component.Apex.TabPanel(title='Select type', switchType='client', tabClass='actveTab', inactiveTabClass='inactiveTab', style='padding:10px');

// Doing loop for one less than list size since we are comparing the next in line item
for (Integer bEE = 0; bEE < ListA.size()-1; bEE++)
{
// identifying during the loop when a new type appears - and creating the corresponding tab
// THIS ALL WORKS FINE
if(ListA[bEE].Type__c<>ListA[bEE+1].Type__c)
{
Component.Apex.Tab miCatMember = new Component.Apex.Tab();
miCatMember.Label = string.valueOf(ListA[bEE].Type__c);
CarTypeTabPanel.childComponents.add(miCatMember);
}

// HERE IS WHERE I AM HAVING PROBLEMS
Component.Apex.selectRadio rdBtnSetup = new Component.Apex.selectRadio();
rdBtnSetup.id = 'selectRadio';
rdBtnSetup.layout = 'pageDirection';
Component.Apex.selectOption CARoption = new Component.Apex.selectOption();
CARoption.itemValue = ListA[bEE].id;
CARoption.itemLabel = ListA[bEE].name;
CARoption.itemDisabled = false;
CarTypeTabPanel.childComponents.childComponents.add(CARoption);


}
return CarTypeTabPanel;
}
}