At many private and some public schools, students are required to wear 12 uniforms. Suppose the boys must wear navy or khaki pants; a short-sleeve or long-sleeve white shirt; and a sweater, vest, or blazer. a. Explain how the Multiplication Principle of Counting can be used to reason that in any group of at least 13 boys, two will be wearing the same type of uniform. b. How big would the group need to be to guarantee that three boys would be wearing the same type of uniform? Bookhla

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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At many private and some public schools, students are required to wear
12
uniforms. Suppose the boys must wear navy or khaki pants; a short-sleeve
or long-sleeve white shirt; and a sweater, vest, or blazer.
a. Explain how the Multiplication
Principle of Counting can be
used to reason that in any
group of at least 13 boys,
two will be wearing the
same type of uniform.
b. How big would the group
need to be to guarantee that
three boys would be wearing
the same type of uniform?
Bookhla
Transcribed Image Text:At many private and some public schools, students are required to wear 12 uniforms. Suppose the boys must wear navy or khaki pants; a short-sleeve or long-sleeve white shirt; and a sweater, vest, or blazer. a. Explain how the Multiplication Principle of Counting can be used to reason that in any group of at least 13 boys, two will be wearing the same type of uniform. b. How big would the group need to be to guarantee that three boys would be wearing the same type of uniform? Bookhla
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