Question: When did the Yuan dynasty rule?
Answer: Kublai Khan did not conquer the Song dynasty in South China until 1279, so Tibet was a component of the early Mongol Empire before it was combined into one of its descendant empires with the whole of China under the Yuan dynasty (12711368).
A single-select problem: Is the question answered in a satisfactory fashion?

pick from the following.
(1). yes
(2). no
(1).