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

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 9ECP: In three-card poker, a hand consists of three cards dealt from a deck of 52. How many different...
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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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