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2011 AMC 10B Problems/Problem 11

Revision as of 19:30, 25 February 2011 by Epicfailiure (talk | contribs) (Created page with '==Problem== There are 52 people in a room. The statement " At least n people in the room have birthdays in the same month " is true for n. What is the largest possible value of …')
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Problem

There are 52 people in a room. The statement " At least n people in the room have birthdays in the same month " is true for n. What is the largest possible value of n?

(A) 2 (B) 3 (C) 4 (D) 5 (E) 6

Solution

By the Pigeon Hole Principle, this the 52/12 rounded up. That is 5 (D).

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