Used Once
How many years does it take before each calendar is used at least once?
Math problem, really confusing me:
How many years does it take before each calendar is used at least once? Start counting with the year 2010.
Explain if possible
There are 14 possible calendars. Each of the following has one different calendar, and each year can be put into one of the following 14 categories:
(01) New Years Day is a Monday and year is not leap year
(02) New Years Day is a Monday and year is a leap year
(03) New Years Day is a Tuesday and year is not leap year
(04) New Years Day is a Tuesday and year is a leap year
(05) New Years Day is a Wednesday and year is not leap year
(06) New Years Day is a Wednesday and year is a leap year
(07) New Years Day is a Thursday and year is not leap year
(08) New Years Day is a Thursday and year is a leap year
(09) New Years Day is a Friday and year is not leap year
(10) New Years Day is a Friday and year is a leap year
(11) New Years Day is a Saturday and year is not leap year
(12) New Years Day is a Saturday and year is a leap year
(13) New Years Day is a Sunday and year is not leap year
(14) New Years Day is a Sunday and year is a leap year
I'll list out all the years and in brackets beside each year put the number corresponding to which of the above 14 years it is. We can stop listing years once all 14 numbers have been used.
2010 (09)
2011 (11)
2012 (14)
2013 (03)
2014 (05)
2015 (07)
2016 (10)
2017 (13)
2018 (01)
2019 (03)
2020 (06)
2021 (09)
2022 (11)
2023 (13)
2024 (02)
2025 (05)
2026 (07)
2027 (09)
2028 (12)
2029 (01)
2030 (03)
2031 (05)
2032 (08)
2033 (11)
2034 (13)
2035 (01)
2036 (04).
Starting from 2010, it will take until 2036 (including both 2010 and 2036, that's 27 years) until all 14 calendars are used at least once.
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