Five doctors work at the Evergreen Medical Clinic. The plan is to staff Saturdays with three...

Question

Five doctors work at the Evergreen Medical Clinic. The plan is to staff Saturdays with three doctors. The office manager has decided to make up Saturday schedules in such a way that no set of three doctors will be in the office together more than once. How many weeks can be covered by this schedule?

Robert · Accepted Answer

Five​ ​doctors​ ​work​ ​at​ ​Evergreen​ ​Medical​ ​College.​ ​The​ ​plan​ ​is​ ​to​ ​staff​ ​Saturdays​ ​with​ ​3​ ​doctors 
such​ ​that​ ​no​ ​set​ ​of​ ​3​ ​doctors​ ​will​ ​be​ ​in​ ​the​ ​office​ ​more​ ​than​ ​once. 
Under​ ​the​ ​given​ ​condition,

Five doctors work at the Evergreen Medical Clinic. The plan is to staff Saturdays with three doctors. The office manager has decided to make up Saturday schedules in such a way that no set of three...

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