WPF + MVVM + RadioButton : Handle binding with single property

You need a converter.

//define this in the Window's Resources section or something similiarly suitable
<local:GenderConverter x:Key="genderConverterKey" />


<RadioButton Content="M" IsChecked="{Binding Gender, Converter={StaticResource ResourceKey=genderConverterKey}, ConverterParameter=M}" />
<RadioButton Content="F" IsChecked="{Binding Gender, Converter={StaticResource ResourceKey=genderConverterKey}, ConverterParameter=F}" />

The converter

public class GenderConverter : IValueConverter
{
    public object Convert(object value, Type targetType, object parameter, System.Globalization.CultureInfo culture)
    {
        return ((string)parameter == (string)value);
    }

    public object ConvertBack(object value, Type targetType, object parameter, System.Globalization.CultureInfo culture)
    {
        return (bool)value ? parameter : null;        
    }
}

Replace null (in ConvertBack) with Binding.DoNothing if binding should not be applied in that case.

return (bool)value ? parameter : Binding.DoNothing;

I changed the solution converter a bit to an MarkupExtension to make it bit easier for me to use (here as int-converter):

public class RadioValueExtension : MarkupExtension, IValueConverter
{
    [ConstructorArgument("value")]
    public int Value { get; set; }

    public RadioValueExtension(int value)
    {
        Value = value;    
    }

    public override object ProvideValue(IServiceProvider serviceProvider)
    {
        return this;
    }

    public object Convert(object value, Type targetType, object parameter, CultureInfo culture)
    {
        return Value == (int)value;
    }

    public object ConvertBack(object value, Type targetType, object parameter, CultureInfo culture)
    {
        return (bool)value ? Value : Binding.DoNothing;
    }
}

So I can use it like this

<RadioButton IsChecked="{Binding Gender, Converter={converters:RadioValue 0}}" Content="M" />
<RadioButton IsChecked="{Binding Gender, Converter={converters:RadioValue 1}}" Content="F" />

Your requirement is possible, but you would need some additional effort to make it work. The main reason for this is RadioButton’s property IsChecked is Boolean and multiple radio buttons are separate controls and doesn’t act like one. For example a ListBox.

For your requirement to work, you could use a Converter. Bind the IsChecked of both Radiobuttons to the PersonGender property in ViewModel and use a common converter and pass a parameter ‘MALE’ for male radio button and ’FEMALE’ for female radio button.

In Converter check if parameter and PersonGender are same and return TRUE for that.

Ie. If checkbox command parameter is MALE and PersonGender is also MALE, then the checkbox is enabled Else if checkbox command parameter is FEMALE and PersonGender is MALE, checkbox is not enabled since false is returned.

Use Commands (Using DelegateCommands here)

VM:

public enum Genders {
    Female,
    Male
}
public YourVMClass {
    public Genders SelectedGender {get; set;}

    private DelegateCommand _cmdSelectGender;

    public DelegateCommand CmdSelectGender {
        get { return _cmdSelectGender ?? (_cmdSelectGender = new DelegateCommand(SelectGender)); }
    }

    private void SelectGender(Object parameter) {
        SelectedGender = (Genders)parameter;
    }
}

XAML:

<Window.Resources>
    <ObjectDataProvider x:Key="listOfGenders" MethodName="GetValues"
                        ObjectType="{x:Type System:Enum}">
        <ObjectDataProvider.MethodParameters>
            <x:Type TypeName="loca:Genders"/>
        </ObjectDataProvider.MethodParameters>
    </ObjectDataProvider>
</Window.Resources>

<ItemsControl ItemsSource="{Binding Source={StaticResources listOfGenders}}">
    <ItemsControl.ItemTemplate>
        <RadioButton GroupName="Genders" Command="{Binding RelativeSource={RelativeSource FindAncestor, AncestorType={x:Type MainWindow}}, Path=DataContext.CmdSelectGender}" CommandParameter="{Binding}"/>
    </ItemsControl.ItemTemplate>
    <ItemsControl.ItemsPanel>
        <ItemsPanelTemplate>
            <StackPanel/>
        </ItemsPanelTemplate>
    </ItemsControl.ItemsPanel>
</ItemsControl>

(Didn't test the code, but this is the idea)