Logic Problem Solution: Soap Opera: The Doctors From the introduction, the four new doctors on "Suburban Hospital" each make their debut on a different day Monday-Friday, so there is one day when none appears. By clue 2, Joey isn't the fourth actor to debut on the show; nor is Brent (5). So, either Alec or Ian portrays the fourth new doctor. By clue 8, Dr. Hal Hallmark first appears two shows before the radiologist, so the radiologist is introduced on Wednesday at the earliest. Since neither Alec nor Ian plays the radiologist (4), the first appearance of the radiologist on the soap isn't on Friday and must be on Wednesday or Thursday. Trying the first option, that Dr. Hal Hallmark is introduced on Monday and the radiologist on Wednesday, by clue 7, the ophthalmologist debuts one day before Ian's character. The ophthalmologist isn't Dr. Hal Hallmark (1) and thus wouldn't be introduced on Monday. Since Ian doesn't play the radiologist (4), the ophthalmologist also wouldn't debut on Tuesday. The ophthalmologist would be introduced to "Suburban Hospital" fans on Thursday, and Ian would appear for the first time on Friday. Tuesday would then be the one day on which the program doesn't add a new character. Since Alec isn't the actor who plays Dr. Hal Hallmark (1) or the radiologist (4), Alec would play the ophthalmologist. However, either Joey or Brent would then portray Dr. Hal Hallmark and debut that role on Monday, so that by clues 2 and 5, another character would have to debut on Tuesday--no. Therefore, Dr. Hal Hallmark's introduction on the soap isn't on Monday but on Tuesday, and the radiologist character is introduced on Thursday. By clue 7, again, the ophthalmologist debuts one day before Ian's character. The ophthalmologist isn't Dr. Hal Hallmark (1) and thus isn't introduced on Tuesday. Since Ian doesn't play the radiologist (4), the new ophthalmologist also doesn't debut on Wednesday. The ophthalmologist is introduced on Monday and Ian on Tuesday (7). Since neither Joey (2) nor Brent (5) is the fourth actor to appear, Alec must be. Since Alec's role isn't that of the radiologist (4), Alec's doctor debuts on the show on Friday. Wednesday is the day when no new doctor is brought on the soap. By clue 5, Brent makes his soap debut on Thursday as the radiologist, and Alec is being introduced as Dr. Sam Sampson on Friday. Joey plays the ophthalmologist, and Ian's last name is Lucci (2). Joey's role is as Dr. Dan Danforth and Brent's as Dr. Will Wilson (6). By clue 3, Ian debuts as a neurosurgeon on Tuesday and Alec as an anesthesiologist. Joey is Trumayne (9). Brent's last name is Mulder, and Alec is Grace (3). The four new doctors are introduced on "Suburban Hospital" as follows:
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