Question

The student relations committee of a college consists of 2 administrators, 3 faculty members, and 5 students. Four administrators, 8 faculty members, and 20 students are eligible to serve. How many different committees are possible?

Answer 1

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