PigeonHole principle A drawer holds a dozen brown socks and a dozen black socks, both of which are unmatched. In the dark, a man pulls socks at random. a) How many socks does he need to remove to ensure that he has at least two socks of the same color? b) How many socks does he need to pull out to ensure he has at least two black socks?

PigeonHole principle A drawer holds a dozen brown socks and a dozen black socks, both of which are unmatched. In the dark, a man pulls socks at random. a) How many socks does he need to remove to ensure that he has at least two socks of the same color? b) How many socks does he need to pull out to ensure he has at least two black socks?

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

PigeonHole principle

A drawer holds a dozen brown socks and a dozen black socks, both of which are unmatched. In the dark, a man pulls socks at random.

a) How many socks does he need to remove to ensure that he has at least two socks of the same color?

b) How many socks does he need to pull out to ensure he has at least two black socks?

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