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Q: What is the greatest number of mondays that can occur in the first 45 days of the year?
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How do you find the greatest number of Mondays that may occur in any 45 day interval?

Get a calendar. Start on a Monday and mark off 45 days. Count the number of Mondays you have crossed off. The answer will be 7.


How do you find the greatest number of mondays that may occur in any 45-day interval?

Start with Monday as the first day, and count. This will give the maximum number of Mondays possible. The answer turns out to be 7, with a couple of days of wiggle-room. I just now realized that I mis-read the question. You are not asking for the maximum number, but in fact the smallest: the greatest number that can appear in any 45 day period. So the answer is actually 6, not 7. There can be no fewer than 6 Mondays in any interval of 45 days.


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