Problem Solving

Kendra is a faculty advisor and she helps 4 student leaders, 3 faculty members and 5 administrators meet and learn about each other.She decides to invite 1 student, 1 faculty member and 1 administator to lunch every Friday. For how many Fridays can Kendra avoid having lunch with the exact same combination of student, faculty and administrator?
12
48
60
64
68

May I ask someone to help me with this?

Number of different lunch groups consisting of 1 student, 1 faculty member and 1 administrator
= (number of ways to select 1 student among 4)*(number of ways to select 1 faculty member among 3)*(number of ways to select 1 administrator among 5)
= 4*3*5
= 60

C