Detailed pictures and specs are in the links above. You should definitely be able to tell which truck it is when you get it.
FYI- None of Losi's mini's come with AA chargers or rechargeable AA batteries. The Mini-T doesn't come with any chargers or batteries. The Mini-Desert Truck comes with a wall charger for the included NiMh battery, and 8 regular AA's for the radio. If you are getting something different, it is aftermarket.
It sounds like you bought Mini-Desert Trucks with some aftermarket stuff, but who knows? Post pictures.