Well, this time, the question is:
Assuming that birthdays are evenly distributed around 365 days of the year...
what is the minimum number of people I must have in a room, such that the odds are that at least n people share the same birthday?

Let's limit this question to n values from 1 to 12.

We know that for n=1, 1 person is sufficient.

For n=2, as is described in Happy Birthday, 23 people are sufficient.

What are the minimum numbers for n=3 to 12?

Well, not to interrupt the heavy flow of comments, but let me confirm that Charlie's answers are very close to correct (and some of them are), but there is still room for a "more exact" solution.

Still, my hat's off to Charlie's well thought out description of the problem solution.

Posted by SilverKnight on 2004-03-11 17:36:21