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?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 4CT: Over the past year, John has purchased 30 books. a In how many ways can he pick four of these books...
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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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