It is perfectly true that July 2011 has 5 Fridays, 5 Saturdays and 5 Sundays. However, such a combination occurs far more often than every 823 years. The last occurrence was in July 2005 while the next occurrence will take place in July 2016.
FACT 1: In any 31-day month, whatever days of the week the 1st, 2nd, and 3rd fall on will occur a total of five times. If a month starts with Friday-Saturday-Sunday, it will have a total of 5 Fridays, 5 Saturdays, and 5 Sundays. If it starts with Sunday-Monday-Tuesday, it will have a total of 5 Sundays, 5 Mondays, and 5 Tuesdays. And so on.
FACT 2: Let’s think about this, a year can only start on one of seven days, so there are seven possible basic calendar years. Add leap years, and there are fourteen basic calendars. Period. And one of those calendars only gets used every 823 years? How would that be possible? It’s not of course, all fourteen calenders get cycled through regularly, in fact 2010 uses the exact same calendar as 1999.
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