A new bank has decided to stay open only on weekends - all day Saturday and Sunday - and no other days. The bank has hired two managers (U and V), Four tellers (W,X,Y, and Z), and two operation officers (S and T), for a total of exactly eight full-time employees. No part-time employees are hired. Each employee works a complete day when working.
- A manager must be on duty each day.
- The managers cannot work on the same day.
- At least two tellers must be working on the same day.
- W and X will not work on the same day.
- S and Z will only work on Saturday.
- No employee can work on consecutive days, but each employee must work on Saturday or Sunday.
Which of the following could be false?