Police in Nashville tweeted that the violence arose after an apparent row over a dice game on Thursday night, October 22.
The man was killed in the argument while the wounded persons were passing by.
The latest incident comes a week after three people were wounded by gunfire at an off-campus party near the college.
The suspect fled the scene on foot.
A university spokeswoman said the two men involved in the argument were not students and were believed to have been gambling.
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