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Nine doctors work at a medical clinic. The plan is to staff Saturdays with two doctors. The ofce manager has decided to make up Saturday

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Nine doctors work at a medical clinic. The plan is to staff Saturdays with two doctors. The ofce manager has decided to make up Saturday schedules in such a way that no set of two doctors will be in the ofce together more than ones. How many weeks can be covered by this schedule? (Hint: Use a tree diagram to list the sample space.) The number of weeks that can be covered by this schedule is

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