"Nine people were on board the plane. Seven died, while two are seriously injured," Juan Carlos Ganan, the commander of firefighters in the area, told AFP.
Viral video shows last moments of military plane crash in Rawalpindi
The third person injured was a child on the ground in the area where the plane crashed, Ganan said.
Firefighters were trying to stop fuel leaking from the aircraft, Ganan added.
The plane, which crashed at 2:11 pm (1911 GMT), was headed from Popayan to Lopez de Micay, both in Cauca department.
The cause of the crash was not known and an investigation was underway, Ganan said.
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