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Only days with 31 days can have 5 of those Fri-Sat-Sun weekends in the month.

There can be from 0 to 2 of these each year, as the month must start on a Friday.

A given month will repeat this on a regular cycle, every 6, 5, 6, and 11 years

e.g. January in 1960, 1965, 1971, 1982, 1988, 1993, 1999, 2010, and 2016.

*For years where January has 5 Fri-Sat-Sun weekends, either July or October will also have 5: July in leap years and October in non-leap years.

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Q: How many months have 5 friday's saturday's and sunday's?
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