Peking Duck - why do they take my duck away?
In several of the restaurants I've ordered peking duck at they offer it as part of three courses. They will first present the duck and cut off slices of the skin (with only a small amount of meat), this is then used with the pancakes.

They will then take the duck away away and create a noodle dish with the remaining meat. Finally they use the everything left to make a duck soup (dishes may vary from place to place).

It's quite possible that the restaurant you went to only offers the dishes separately.