EMERGANCY Please help. Q1. Suppose there are 110 children at a school. Suppose that among these 110 children,51 children have blue eyes, 33 children have blond hair, and 14 children have blueeyes and blond hair. How many children have neither blue eyes nor blond hair?A. 40B. 26C. 84D. 70E. 96F. 12Q2. How many numbers, at a minimum, should we choose at random fromS = {10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} in order to guarantee that the difference oftwo of the chosen numbers is divisible by 4?A. 2B. 3C. 4D. 5E. 6F. None of the above Q3. Suppose A = {1, 2,3,4}. Which of the following sets is the relationR= {(a, b) | a+b is odd }?A. R = {(1, 1), (1, 2), (1, 3), (1, 4), (2, 2), (2, 4), (3, 3), (4,4)}B. R= = {(1, 2), (1, 3), (1, 4), (2, 4)}}C. R = {(1, 2), (2, 1), (1,3), (3, 1), (1, 4), (4, 1), (2, 4), (4, 2)}D. R = {(1, 1), (1, 2), (1, 3), (1, 4), (2, 4), (3, 3), (4, 4) }E. R = = {(1, 2), (1, 4), (1, 3), (2, 4), (2, 2), (4, 4) }= {(1, 2), (2, 1), (2, 3), (3, 2), (3, 4), (4, 3), (1, 4), (4, 1)}F. R=Q4. Letz and y be propositional variables. Which of the following propositions is not atautology?A. xxB. (x→y) V (y → x)C. (x^x)D.y → (x V-x)E. x→→xF. (y^-y) → x

“Since you have posted multiple questions, we will provide the solution only to the first question…

Q1. Suppose there are 110 children at a school. Suppose that among these 110 children, 51 children have blue eyes, 33 children have blond hair, and 14 children have blue eyes and blond hair. How many children have neither blue eyes nor blond hair? A. 40 B. 26 C. 84 D. 70 E. 96 F. 12

Q1. Suppose there are 110 children at a school. Suppose that among these 110 children, 51 children have blue eyes, 33 children have blond hair, and 14 children have blue eyes and blond hair. How many children have neither blue eyes nor blond hair? A. 40 B. 26 C. 84 D. 70 E. 96 F. 12

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter2: Working With Real Numbers

Section2.7: Problem Solving: Consecutive Integers

Problem 1OE

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Question

EMERGANCY Please help.

Q1. Suppose there are 110 children at a school. Suppose that among these 110 children,
51 children have blue eyes, 33 children have blond hair, and 14 children have blue
eyes and blond hair. How many children have neither blue eyes nor blond hair?
A. 40
B. 26
C. 84
D. 70
E. 96
F. 12
Q2. How many numbers, at a minimum, should we choose at random from
S = {10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} in order to guarantee that the difference of
two of the chosen numbers is divisible by 4?
A. 2
B. 3
C. 4
D. 5
E. 6
F. None of the above

Q3. Suppose A = {1, 2,3,4}. Which of the following sets is the relation
R= {(a, b) | a+b is odd }?
A. R = {(1, 1), (1, 2), (1, 3), (1, 4), (2, 2), (2, 4), (3, 3), (4,4)}
B. R= = {(1, 2), (1, 3), (1, 4), (2, 4)}}
C. R = {(1, 2), (2, 1), (1,3), (3, 1), (1, 4), (4, 1), (2, 4), (4, 2)}
D. R = {(1, 1), (1, 2), (1, 3), (1, 4), (2, 4), (3, 3), (4, 4) }
E. R = = {(1, 2), (1, 4), (1, 3), (2, 4), (2, 2), (4, 4) }
= {(1, 2), (2, 1), (2, 3), (3, 2), (3, 4), (4, 3), (1, 4), (4, 1)}
F. R=
Q4. Letz and y be propositional variables. Which of the following propositions is not a
tautology?
A. xx
B. (x→y) V (y → x)
C. (x^x)
D.y → (x V-x)
E. x→→x
F. (y^-y) → x

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