Just a little something for weekend

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Just a little something for weekend [#permalink]

01 Aug 2003, 16:46

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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02 Aug 2003, 12:57

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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02 Aug 2003, 16:14

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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AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
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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04 Aug 2003, 13:59

You might be wishing people the best, but you aren't explaining much.

:cry:

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05 Aug 2003, 01:46

I think my explanation is complete. What else do you want to see?

Eternal Intern

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05 Aug 2003, 06:59

No not you Stolyar, Mr. AkamiBrah.
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[#permalink] 05 Aug 2003, 06:59

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