se pigeonhole principle 1. A drawer holds a dozen unmatched brown socks and a dozen unmatched black socks. In the dark, a man pulls socks at random. How many socks must he remove to ensure that he has at least one pair of socks that are the same color? 2. In a drawer, there are a dozen brown socks and a dozen black socks that are unmatched. In the dark, a man pulls socks at random. How many socks does he need to take out to ensure he has at least two pairs of the same color?

se pigeonhole principle 1. A drawer holds a dozen unmatched brown socks and a dozen unmatched black socks. In the dark, a man pulls socks at random. How many socks must he remove to ensure that he has at least one pair of socks that are the same color? 2. In a drawer, there are a dozen brown socks and a dozen black socks that are unmatched. In the dark, a man pulls socks at random. How many socks does he need to take out to ensure he has at least two pairs of the same color?

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

Use pigeonhole principle

1. A drawer holds a dozen unmatched brown socks and a dozen unmatched black socks.

In the dark, a man pulls socks at random.

How many socks must he remove to ensure that he has at least one pair of socks that are the same color?

2. In a drawer, there are a dozen brown socks and a dozen black socks that are unmatched.

In the dark, a man pulls socks at random.

How many socks does he need to take out to ensure he has at least two pairs of the same color?

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