Question

Suppose that 25 days are chosen at random from a calendar. Explain why at least 3 of the 25 days must lie in the same month. Do some research to find the name of the principle you've used, and clearly describe it in your own words.

Answer 1

Explanation:

If you have to choose 25 days, you have to think how many months there are.

The year has 12 months, so, if you divide 25 days /12 months =2,08333. (more than 2--> 3)

So if you happen to choose 2 of every month you have 24 days chosen, you have to pick one extra day and will add 3 to the month it belongs.

In any way you choose, you an be sure there is at least one month with 3 or more days chosen.