To reproduce:
- add carousel with few items in it
- subscribe to the mentioned events
- start the application = > one item is selected but the events are not fired.

RadCarousel not rotating when the AnimationToApply property is set (263070)

To reproduce: 
from tickets: 263070,258135 
1. Add radCarousel with 5 RadImageButtonelements
2. Set the AnimationsToApply property to Animations.Location 

Workaround: 
this.radCarousel1.CarouselPath.ZScale = 1000;
this.radCarousel1.OpacityChangeCondition = Telerik.WinControls.UI.OpacityChangeConditions.None;
this.radCarousel1.AnimationsToApply = Telerik.WinControls.UI.Animations.All;

Use the following code:

RadCarousel c = new RadCarousel
{
    Parent = this,
    Dock = DockStyle.Fill
};

for (int i = 0; i < 50; i++)
{
    c.Items.Add(new MyButtonElement("Button " + i));
}

c.VisibleItemCount = 3;

Start the application and click the buttons to switch the elements, you will see the exception

To reproduce: add a RadCarousel and try to add items at design time using the SmartTag.  If you try to add more than three items, you get an error: "Index was out of range.  Must be non-negative and less than the size of the collection.  Parameter name: index"

1. Add few RadImageItems with assigned images to them in RadCarousel
2. Try to remove the selected item upon a button click
= > the item is removed from the Items collection, but remains visible on the screen and remains in the Children collection

FIX. RadCarousel - SelectedItemChanged event is not fired