How do you bind an enum to a dependency property to a combobox in WPF?

I have read several articles and stackoverflow posts, but I am still a bit stuck with how to make this work.

I have an enum list that I want to bind to a dependency property, which is then bound to a combobox. When I load the program, the combobox is empty.

Once this is working, I want to display the name in the box (i.e. accessory) and the hex as the value.

XAML:

<ComboBox ItemsSource="{Binding BodyTypeFlags}" />

C#:

public enum BodyTypeFlagsTS4
{
    Accessory = 0x0000000A,
    Blush = 0x00000020
}

public BodyTypeFlagsTS4 BodyTypeFlags
{
    get { return (BodyTypeFlagsTS4)GetValue(BodyTypeFlagsProperty); }
    set { SetValue(BodyTypeFlagsProperty, value); }
}

public static readonly DependencyProperty BodyTypeFlagsProperty =
    DependencyProperty.Register("BodyTypeFlags", typeof(BodyTypeFlagsTS4),
    typeof(MainWindow), new PropertyMetadata(default(BodyTypeFlagsTS4)));

Edit: I have done as suggested and I can now see the list of enum items in the combo box. I have two problems:

1. If I keep the enum as is (Name = Hex) then when I click the test button nothing surfaces.

2. If I remove the = hex part (so, it just has Accessory and Blush) then the test button will come back with Accessory - every time. Even when I have blush selected. (I don't want to change the enum format, but this tells me that the two way binding isn't working.)

   public BodyTypeFlagsTS4 BodyTypes
   {
       get { return (BodyTypeFlagsTS4)GetValue(BodyTypesProperty); }
       set { SetValue(BodyTypesProperty, value); }
   }
   
   public static readonly DependencyProperty BodyTypesProperty =
       DependencyProperty.Register("BodyTypes", typeof(BodyTypeFlagsTS4), typeof(MainWindow), new PropertyMetadata());
   
   private void Button_Click(object sender, RoutedEventArgs e)
   {
       Dispatcher.BeginInvoke(new Action(() =>
       {
           System.Windows.MessageBox.Show(System.Enum.GetName(typeof(BodyTypeFlagsTS4), this.BodyTypes));
       }));
   }
   

You need to provide a list of available values for the ComboBox. For example:

public BodyTypeFlagsTS4[] AvailableBodyTypeFlags
{
    get { return (BodyTypeFlagsTS4[])Enum.GetValues(typeof(BodyTypeFlagsTS4)); }
}

Then bind your ComboBox to the list:

<ComboBox ItemsSource="{Binding AvailableBodyTypeFlags}"
          SelectedItem="{Binding BodyTypeFlags}" />

And you don't actually need dependency properties. Implementing INotifyPropertyChanged in your view-model is enough.