linq to ienumerable where child ienumerable

我如何选择id为1的停车场，并且该停车场中只有200年的汽车

var List<Parking> cityParkings = new List<Parking>
{
    new Parking{ id = 1, carsInPark = new List<Car>{ new Car{ year = 2000}, new Car{ year = 2001} }},
    new Parking{ id = 2, carsInPark = new List<Car>{ new Car{ year = 2000}, new Car{ year = 1999} }},
    new Parking{ id = 3, carsInPark = new List<Car>{ new Car{ year = 2005}, new Car{ year = 2000} }},
}

预期结果：

Parking { id = 1, carsInPark = List<Car>{ Car{ year = 2000} } }

选择id 1的现有停车实例和现有汽车实例，但仅选择2000年的汽车。

谢谢；）

cityParkings.Where(p => p.id = 1)
   .Select(pp => new Parking(){id = pp.id, carsInPark = pp.carsInPark.Where(c=>c.year == 2000).ToList()});