A new interp from LRIC, dated March 26, 2008:
Minimum Participants in Multiple Singles or Doubles Tennis Tournaments on the Same Date (I)
The committee determined that, in tennis, if more than three student-athletes represent an institution in singles or doubles tournaments that do not include any team scoring or the recognition of a team champion at different sites on the same date, the institution must count an institutional date of competition for that date. For example, if two student-athletes participate in Singles Tournament A (no team scoring, no team champion) and two different student-athletes participate in Singles Tournament B (no team scoring, no team champion) on the same day, the institution must count an institutional date of competition for that day.
[References: NCAA Bylaws 17.02.6 (date of competition, countable, institutional), 17.02.6.1 (required minimum number of student-athletes) and 17.26.5.1.2 (individual singles or doubles tournament limitations -- institutional)]

