(a) Among 82 people at least how many were born in the same month?Answer =(b) Assuming that no one is born on Feb. 29 (leap day), how many people should beselected to guarantee that at least 6 were born on the same day, not considering theyear?Answer =

a) Among 82 people at least how many were born in the same month? Answer = b) Assuming that no one is born on Feb. 29 (leap day), how many people sho selected to guarantee that at least 6 were born on the same day, not conside

a) Among 82 people at least how many were born in the same month? Answer = b) Assuming that no one is born on Feb. 29 (leap day), how many people sho selected to guarantee that at least 6 were born on the same day, not conside

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

(a) Among 82 people at least how many were born in the same month?
Answer =
(b) Assuming that no one is born on Feb. 29 (leap day), how many people should be
selected to guarantee that at least 6 were born on the same day, not considering the
year?
Answer =

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According to the pigeonhole principle, if n items are placed in m containers, with $n > m$ , at least one container must contain more than one item.

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