The correct statements that describe political achievements under the Ming dynasty in China are:
- The first Ming emperor overthrew the hated Mongols.
- The dynasty sent out huge sailing expeditions to explore and trade.
- A civil service helped run the empire efficiently.
The statements about conquering Japan and Korea as well as the rebuilding of the capital at Nanjing are not accurate reflections of Ming achievements, as the capital remained in Beijing during most of the dynasty, and while there were military campaigns, they did not amount to full conquests of these nations.