CREATE TABLE table_23874 ("Game" FLOAT, "Date" TEXT, "Opponent" TEXT, "Result" TEXT, "Tar Heels points" FLOAT, "Opponents" FLOAT, "Record" TEXT)

How many losses were there when the record was 4-0?
SELECT MAX("Opponents") FROM table_23874 WHERE "Record" = '4-0'
SELECT MAX("Opponents") FROM "table_23874" WHERE "Record" = '4-0'