Let U= { 1,2,3,...,20}. Let A, B, C be the subsets of U. Let A be the set of all numbers, which are prefect squares, B be the set of all numbers which are multiples of 5 and C be the set of all numbers, which are divisible by 2 and 3. Q. Consider the following statements. I. A, B, C are mutually exclusive. II. A, B, C are mutually exhaustive. III. The number of elements in the complement set of AU B is 12. Q. Which of the statements given above the correct? A. I and II

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.1: Sets And Geometry
Problem 11E: For the sets gives in Exercise 9, is there a distributive relationship for union with respect with...
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Let U= { 1,2,3,...,20}. Let A, B, C be the subsets
of U.
Let A be the set of all numbers, which are prefect
squares, B be the set of all numbers which are
multiples of 5 and C be the set of all numbers,
which are divisible by 2 and 3.
Q. Consider the following statements.
I. A, B, C are mutually exclusive.
II. A, B, C are mutually exhaustive.
III. The number of elements in the complement set
of AU B is 12.
Q. Which of the statements given above the
correct?
A. I and II
B. I and III
C. Il and III
D. I, Il and II
Transcribed Image Text:Let U= { 1,2,3,...,20}. Let A, B, C be the subsets of U. Let A be the set of all numbers, which are prefect squares, B be the set of all numbers which are multiples of 5 and C be the set of all numbers, which are divisible by 2 and 3. Q. Consider the following statements. I. A, B, C are mutually exclusive. II. A, B, C are mutually exhaustive. III. The number of elements in the complement set of AU B is 12. Q. Which of the statements given above the correct? A. I and II B. I and III C. Il and III D. I, Il and II
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