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The shooting took place at Columbia Heights, about three km from the White House, in Northwest Washington at around 10:06 pm on Thursday, the police was quoted as saying by the NBC Washington.
Police received a report of shots fired and found six victims who had been shot, it said.
The five injured were taken to hospitals, including at least one in critical condition, police said, adding that they are interviewing people in the neighbourhood and looking for surveillance video, the report said.