Question

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. )

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.