A firm works 5 days a week. Every employee must work exactly 2 full days and...

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A firm works 5 days a week. Every employee must work exactly 2full days and 3 half-days each week. A half-day can be eithermorning or afternoon, and two half-days cannot be held on the sameday. How many possible different weekly schedules are there? if thefirm has 374 employees, how many people must have the same workschedule for a particular week? What is the smallest number ofemployees needed to guarantee at least 7 workers have exactly thesame schedule?

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