> One bad year for admissions and the administrators will outnumber the students.
Only if a "bad year" is one where the majority of college-age students in the world are precluded from applying to college due to natural disasters or the like. A realistic "bad year" would mean that the same number of students are admitted, but Stanford breaks some informal non-poaching agreements with Harvard / Yale / Princeton, or perhaps admits some students at a lower bar than the administration was hoping.
