Answer by dr_ for Prove there's a day of the week for each number in a year
To me, all is needed is to observe that, as @JaapScherphuis wrote,The first of each month from May to November falls on different days of the week.(February falls outside the range May-November so the...
View ArticleAnswer by Glorfindel for Prove there's a day of the week for each number in a...
The argument given in @JaapScherphuis' answer can be modified slightly if you knowNote that the following seven days:
View ArticleAnswer by Bass for Prove there's a day of the week for each number in a year
Let's start from the hardest case first, and check the 30th.Given that the month lengths don't follow a mathematical pattern, we need to tabulate the dates and find how many days (modulo seven) have...
View ArticleAnswer by Jaap Scherphuis for Prove there's a day of the week for each number...
It isIn my opinion the easiest argument is
View ArticleProve there's a day of the week for each number in a year
Prove, or disprove, that each day of the week (Monday to Sunday), falls on every date number 1 to 30 in the space of a year.I.e. Prove there is a Monday 1st, Tuesday 1st, ..., Sunday 1st in the time of...
View Article
