You are watching: How often does a month have 5 fridays saturdays and sundays
Now, there room 5 Fridays — on the 1st, the 8th, the 15th, the 22nd, and also the 29th; 5 Saturdays — ~ above the 2nd, 9th, 16th, 23rd, and also 30th; and 5 Sundays — ~ above the 3rd, 10th, 17th, 24th, and also 31st. You deserve to verify the by looking at a calendar, so the “only as soon as every 823 years” component might it seems ~ to monitor by association. The an initial part to be true, for this reason the 2nd has to be too, right? You’ve heard it from a lot of people, after ~ all.
But in fact, it isn’t the case, as result of the cyclical nature that the calendar. Doug Stych breaks it down:
Let’s think about this, a year can only start on one of seven days, therefore there space seven possible basic calendar years. Include leap years, and there are fourteen simple calendars. Period. And also one the those calendars only gets offered every 823 years? how would the be possible? It’s not of course, all fourteen calenders acquire cycled with regularly, in reality 2010 provides the exact same calendar together 1999.
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Here’s the 2010 October calendar, via TimeandDate.com: (today’s date is highlighted in yellow)
And right here are the calendars for October 1982, October 1993, October 1999, and October 2021. Watch a pattern?
To conserve you the trouble, 1971 and 2004 had the very same October calendar, and also 2032 will have actually the same as well. Hardly a once-every-823-years event.
(P.S. There’s a pretty basic explanation because that this all: for a 31-day month to have actually 5 Fridays, Saturdays, and Sundays, the very first day requirements to it is in a Friday. Every nonleap year has 365 days, i beg your pardon is 52 weeks plus sooner or later <52*7=364; 364+1=365.> so every pass year will certainly ‘push’ the an initial day of the month front by one day, defining ‘forward’ as Friday -> Saturday, Saturday -> Sunday, etc. However, if it’s a leap year, the an initial day that the month will be propelled forward by two days. Since any type of six-year cycle will certainly contain at least one leap year, this way that the same October calendar must reappear every 6 years
Update: Hah! Chris O’Leary responds come the comic that started the hoopla: (h/t TDW)