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

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
Section2.1: Basic Assumptions
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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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