how many persons need to be in one room , so AT LEAST 3 people have the same Birth MONTH?

Asked Apr 03 '19 at 18:32

Active Apr 03 '19 at 19:07

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how many persons need to be in one room , so AT LEAST 3 people have the same Birth MONTH ?

Another Answer i suggest : (correct me if i'm wrong) there should be 15 People at least , because if there's more people than months per year , then using Pigeonhole Principle at least two people are born in the same month.

edited Apr 03 '19 at 19:07

asked Apr 03 '19 at 18:32

Semor Bchr

5

25 of course.Try the contradiction method. – Michael Rozenberg Apr 03 '19 at 18:36
What have you tried? Usually one approaches these problems by trying to think of the largest group without the desired property. – lulu Apr 03 '19 at 18:36
Maybe related:https://math.stackexchange.com/questions/25876/probability-of-3-people-in-a-room-of-30-having-the-same-birthday and https://www.pleacher.com/mp/mlessons/stat/bday2.html – NoChance Apr 03 '19 at 18:39
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Your reasoning is correct, and it is formalized in the Pigeonhole Principle. – Austin Mohr Apr 03 '19 at 18:41

how many persons need to be in one room , so AT LEAST 3 people have the same Birth MONTH?

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