Teams have been arriving for the mens tournament since Saturday, and the N.C.A.A. said Wednesday that seven people had tested positive for the virus after about 6,900 samples were processed. Because the association requires a range of people affiliated with the tournament to test on a regular basis, it left open the possibility that few or none of those positive results involved players or coaches.
Although no teams dropped out before this weeks deadline for a replacement school to be invited to compete, the virus has caused turmoil around both tournaments.
Virginia, the 2019 mens champion, will not arrive in Indiana until later this week, its plans delayed because of a positive test and contact tracing that sent most of the team into quarantine. The Cavaliers, a No. 4 seed in the West region, are scheduled to play No. 13 Ohio on Saturday night.
In the womens tournament, Connecticut, the top seed in the River Walk region, will be without Coach Geno Auriemma for at least its first game after he tested positive for the virus. If UConn avoids an upset by No. 16 High Point, Auriemma is also expected to miss his teams second-round game.
