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Topic: The Minimum Number Of People (Read 609 times) |
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Kaman
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The Minimum Number Of People
« on: Feb 22nd, 2007, 5:03pm » |
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What is the minimum number of people in a group so that you could be certain that 3 of them were born in the same month?
Please Help! I Do not even know where to begin.
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Whiskey Tango Foxtrot
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Re: The Minimum Number Of People
« Reply #1 on: Feb 22nd, 2007, 5:27pm » |
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Considering the recent trend of posting answers backwards, I will say ytfif-owt.
Start by thinking of how many it takes for two to have the same month of birth.
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jollytall
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Re: The Minimum Number Of People
« Reply #2 on: Feb 22nd, 2007, 11:57pm » |
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Is it hard?
But with another logic, different from WTF: How many people can you put, so that in all the 12 months only 2 people were born? This is the maximum doe not satisfy your criteria. So one more is the solution.
Another solution:
Assuming the maximum age is 110 years where we have sufficient number of people in every month and let's say another 30 (more/less?) over 110 years. So let's choose all the people over 110 and 220 people of age 1-110, would make 250 people still not three born in the same month. So my answer is 251.
And yet another solution:
Three. If I can choose the three people.
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JiNbOtAk
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Hana Hana No Mi
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Re: The Minimum Number Of People
« Reply #4 on: Feb 23rd, 2007, 1:25am » |
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on Feb 22nd, 2007, 5:27pm, Whiskey Tango Foxtrot wrote:Considering the recent trend of posting answers backwards, I will say ytfif-owt.
Start by thinking of how many it takes for two to have the same month of birth. |
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I got 25, how did you get 52 WTF ?
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towr
wu::riddles Moderator
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Re: The Minimum Number Of People
« Reply #5 on: Feb 23rd, 2007, 1:40am » |
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on Feb 23rd, 2007, 1:25am, JiNbOtAk wrote:| I got 25, how did you get 52 WTF ? |
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I think he wrote the answer backwards 
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Wikipedia, Google, Mathworld, Integer sequence DB
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JiNbOtAk
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Re: The Minimum Number Of People
« Reply #6 on: Feb 23rd, 2007, 2:58am » |
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Dang, how did I misread that ?? 
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Kaman
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Re: The Minimum Number Of People
« Reply #7 on: Feb 23rd, 2007, 12:39pm » |
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I don't understand the work because work is required and i didn't really get any. Thanks in advance. I don't even know what the right answer is i have heard 252 251 25 52 so that would be helpful also.
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| « Last Edit: Feb 23rd, 2007, 12:41pm by Kaman » |
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Kaman
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Re: The Minimum Number Of People
« Reply #8 on: Feb 23rd, 2007, 12:48pm » |
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Wait, I think i figured out the logic. If you have 24 people, 2 must be same month. Theretically, 1 more will be the same month as the 2 others. Right? 
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Icarus
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Re: The Minimum Number Of People
« Reply #9 on: Feb 23rd, 2007, 1:14pm » |
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Pretty much.
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