(b) Consider the following Venn diagram representing three sets A, B and C intersecting in the most general way. Three binary digits are used to refer to each one of the eight regions in this diagram. In terms of A, B and C, write the set representing the area comprising the regions 011, 100 and 101. A В 000 010 110 100 111 101 011 001

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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(b) Consider the following Venn diagram representing three sets A, B and C
intersecting in the most general way. Three binary digits are used to refer
to each one of the eight regions in this diagram. In terms of A, B and C,
write the set representing the area comprising the regions 011, 100 and
101.
A
В
000
010
110
100
111
101
011
001
Transcribed Image Text:(b) Consider the following Venn diagram representing three sets A, B and C intersecting in the most general way. Three binary digits are used to refer to each one of the eight regions in this diagram. In terms of A, B and C, write the set representing the area comprising the regions 011, 100 and 101. A В 000 010 110 100 111 101 011 001
(a) Let U be the set of the total number of students at a school, A be the
set of students who play football and B be the set of students who play
basketball. There are 240 students in the school:
• 120 students play football
40 students play basketball
90 students play football but not basketball.
i. Draw a Venn diagram that represents this information
ii. Find the cardinality of the set A'n B'
(b) Consider the following Venn diagram representing three sets A, B and C
intersecting in the most general way. Three binary digits are used to refer
to each one of the eight regions in this diagram. In terms of A, B and C,
write the set representing the area comprising the regions 011, 100 and
101.
Transcribed Image Text:(a) Let U be the set of the total number of students at a school, A be the set of students who play football and B be the set of students who play basketball. There are 240 students in the school: • 120 students play football 40 students play basketball 90 students play football but not basketball. i. Draw a Venn diagram that represents this information ii. Find the cardinality of the set A'n B' (b) Consider the following Venn diagram representing three sets A, B and C intersecting in the most general way. Three binary digits are used to refer to each one of the eight regions in this diagram. In terms of A, B and C, write the set representing the area comprising the regions 011, 100 and 101.
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