The warehouse has 50 lanes, 85 horizontal spots in each aisle, and 5 shelves. What is the smallest number of items that the company can have so that at least two of them can be stored in the same bin? 1.1. A student club in a computer science department can be created with 10 first-year students, 8 second-year students, 6 third-year students, or 4 final-year students. What is the bare minimum of students from each department that must be chosen at random to form a student club?

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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1. A warehouse is where a corporation keeps its items. This warehouse's storage bins are classified according to their aisle, location within the aisle, and shelf. The warehouse has 50 lanes, 85 horizontal spots in each aisle, and 5 shelves.
What is the smallest number of items that the company can have so that at least two of them can be stored in the same bin?

1.1. A student club in a computer science department can be created with 10 first-year students, 8 second-year students, 6 third-year students, or 4 final-year students. What is the bare minimum of students from each department that must be chosen at random to form a student club?

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