During a certain calendar year there were three months in a row so that each month had exactly 4 Saturdays. Find all possible choices for three consecutive months in which this can happen. (make sure you justify why you have found all the possibilities.)

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Jagger

Mathematics

14 April, 10:33

During a certain calendar year there were three months in a row so that each month had exactly 4 Saturdays. Find all possible choices for three consecutive months in which this can happen. (make sure you justify why you have found all the possibilities.)

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Kathy Ho · Answer 1

February 2017 is the calendar year that there were three months in a row that each month had exactly 4 Saturdays. Apparently this has been the first time that this has happened in 823 years and this is because each day of the falls four times in February every 6 years. This is due to happen again in February of 2023 and we do not have to wait another 823 years.