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what is the least number of people in the group of 367 will have the same birthday ??


The answer is 2.

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2 solutions

A normal year has 365 days, but a leap year has 366 days. Therefore there are 366 possible birthdays. Assuming that each 366 people in the group has a different birthday, there is 1 person remaining. Therefore this person will have to share a person with one other person; therefore the minimum number of people with the same birthday is 2.

Lawrence Bush
Aug 28, 2014

One year(normal year) has 365 365 days .In order to get the least number of people we must assume that each of 365 365 people on this group has their birthday on different days.But there are two people left .Certainly,one of these two people must have his birthday on some random day of the year which will necessarily correspond with the birthday of some other person in the 365 365 group.Therefore the asnwer is 2 \boxed{2} .

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