Exercises 45–48 refer to the following: Two doctors in a local clinic are determining which days of the week they will be on call. Each day, Monday through Sunday, is to be assigned to one of two doctors, A and B, such that the assignment is consistent with the following conditions:
? No day is assigned to both doctors.
? Neither doctor has more than four days.
? Monday and Thursday must be assigned to the same doctor.
? If Tuesday is assigned to doctor A, then so is Sunday.
? If Saturday is assigned to doctor B, then Friday is not assigned to doctor B.
Which of the following cannot be true?
a. Thursday and Sunday are assigned to doctor A.
b. Friday and Saturday are assigned to doctor A.
c. Monday and Tuesday are assigned to doctor B.
d. Monday, Wednesday, and Sunday are assigned to doctor A.
e. Tuesday, Wednesday, and Saturday are assigned to doctor B.
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