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Unformatted text preview: (c) the bride must be next to the groom? 4: A student has 37 days to prepare for an examination. From past experience she knows that she will require no more than 60 hours of study. She also wishes to study at least one hour per day. Show that no matter how she schedules her study time (a whole number of hours per day, however), there is a succession of days during which she will have studied exactly 13 hours. 5: There are 151 houses on a street. Each house has an address between 1 and 300, inclusive. Show that at least two houses have addresses that are consecutive integers. 6: There are 151 houses on a street. Each house has an address between 1 and 300, inclusive. Show that some two houses have addresses such that one of them is divisible by the other....
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- Spring '08