How many Sundays can one month hold?

Question

Consider a single calendar month. What is the largest number of Sundays it can contain, and what is the smallest? Which months can reach the maximum, and what has to be true about the day the month starts?

Accepted Answer

At most 5 Sundays, at least 4. Minimum. Every month has at least 28 days, and 28 days is exactly four weeks, so every weekday appears at least four times. No month can have fewer than four Sundays. Maximum. A 31-day month is four weeks plus three extra days; a 30-day month is four weeks plus two; February in a leap year is four weeks plus one. Those extra days are the first few weekdays of the month. So a month has five Sundays exactly when a Sunday falls among its extra days, meaning: - a 31-day month has five Sundays if it starts on Friday, Saturday or Sunday; - a 30-day month has five Sund…

How many Sundays can one month hold?

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