The incident occurred in the Cangshan District of Fuzhou at about 5:50 a.m. local time (21:50 on Friday GMT), according to the authorities. Rescuers managed to recover 14 people from the debris, while the exact number of people remaining under the debris is unknown.
More than 100 people are taking part in a search and rescue operation.
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All those injured in the accident have been sent to hospitals with 13 individuals having sustained slight injuries and one in critical condition. The authorities said the building had been constructed in 2013 without authorisation.
The cause of the collapse remains unknown and an investigation into the incident has already been launched.