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Click and drag the steps to show that at least three of any 25 days chosen must fall in the same month of the year.

Click and drag the steps to show that at least three of any 25 days chosen must fall in the same month of the year. Assume there were at most two chosen days falling into any one month. Then, there will be at most 2.12 = 24 chosen days in 12 months. There will be 3.12 = 36 chosen days in 12 months. Assume there were at most three chosen days falling in the same month. This contradicts the assumption that we have 25 davs

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