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

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

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