Step-by-step explanation:
4 administrator are eligible and the student relations committee has only 2 administrator there are C (4,2) ways of choosing the administrators for the student relations committee
similarly for faculty members ways (8,3) and for students C (20,5)
the number of possible committee = 4!/2!2! × 8!/3!5! ×20!/5!15!
= 6 ×56 ×15504
= 5,209,344
