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
icon
Related questions
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?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,