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Every 823 years there are 5 weekends in July!

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Oh, come on! Get the blood flowing! In 2011, there are 53 Saturdays. January 1 was a Saturday, and the 53rd Saturday is December 31. So there are, as would be typical, 52 full week-ends all in 2011. (This is not that silly question about 5 of a given week day in a month.) Take the 52 full week-ends in 2011 and take any five of them in a row. I count about 48 possibilities during 2011, including overlaps, of course. And this is only one way to reckon "5 week-ends". Any five week-ends out of the 52 would do, giving an unimaginably large number of possibilities. Something close to 52!/47!. Of course, the questioner may have forgotten to put something in related to the month question.

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