CREATE TABLE table_74673 ("Institution" TEXT, "Nickname" TEXT, "Location" TEXT, "Founded" FLOAT, "Type" TEXT, "Enrollment" FLOAT)

Which of the private colleges is the oldest, and whose nickname is the Mountaineers?
SELECT MIN("Founded") FROM table_74673 WHERE "Type" = 'private' AND "Nickname" = 'mountaineers'
SELECT MIN("Founded") FROM "table_74673" WHERE "Nickname" = 'mountaineers' AND "Type" = 'private'