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Just a little something for weekend

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Eternal Intern
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Just a little something for weekend [#permalink] New post 01 Aug 2003, 15:46
There are 20 students in a class. For a given year, which of the following statements must be true?
I. At least two of these students have their birthdays on a Sunday.

II. At least two of these students have their birthdays on the same day of the week.
III. At least two of these students have their birthdays in the same month.
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 [#permalink] New post 02 Aug 2003, 11:57
I. Not necessarily. All may be born in Tuesday, for example.
II. Yes, for there are only 7 days in a week.
III. Yes, for there are 12 months for a given year.
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 [#permalink] New post 02 Aug 2003, 15:14
stolyar wrote:
I. Not necessarily. All may be born in Tuesday, for example.
II. Yes, for there are only 7 days in a week.
III. Yes, for there are 12 months for a given year.


Mathematically, this is called "the Pigeonhole Principle".
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Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

Eternal Intern
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 [#permalink] New post 04 Aug 2003, 12:59
You might be wishing people the best, but you aren't explaining much.

:cry: :cry: :cry: :cry: :cry: :pray


:-D :-D
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 [#permalink] New post 05 Aug 2003, 00:46
I think my explanation is complete. What else do you want to see?
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 [#permalink] New post 05 Aug 2003, 05:59
No not you Stolyar, Mr. AkamiBrah.
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  [#permalink] 05 Aug 2003, 05:59
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