Difference between revisions of "2011 AMC 10B Problems/Problem 11"
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Revision as of 12:11, 4 July 2013
Problem
There are
people in a room. what is the largest value of
such that the statement "At least
people in this room have birthdays falling in the same month" is always true?
Solution
Pretend you have
people you want to place in
boxes. By the Pigeonhole Principle, one box must have at least
people
See Also
| 2011 AMC 10B (Problems • Answer Key • Resources) | ||
| Preceded by Problem 10 |
Followed by Problem 12 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AMC 10 Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions.