Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > If A = {x, y, z}, then the number of subsets ...
Start Learning for Free
If A = {x, y, z}, then the number of subsets in powerset of A is
- a)6
- b)8
- c)7
- d)9
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If A = {x, y, z}, then the number of subsets in powerset of A isa)6b)8...
Concept:
The power set (or powerset) of a Set A is defined as the set of all subsets of the Set A including the Set itself and the null or empty set.
Calculations:
Given, A = {x, y, z}.
The power set (or powerset) of a Set A is defined as the set of all subsets of the Set A including the Set itself and the null or empty set.
Powerset of A = {ϕ,{x}, {y}, {z}, {x, y}, {y, z}, {x, z},{x, y, z}}.
Hence, the number of subsets in the powerset of A is 8.
The power set (or powerset) of a Set A is defined as the set of all subsets of the Set A including the Set itself and the null or empty set.
Calculations:
Given, A = {x, y, z}.
The power set (or powerset) of a Set A is defined as the set of all subsets of the Set A including the Set itself and the null or empty set.
Powerset of A = {ϕ,{x}, {y}, {z}, {x, y}, {y, z}, {x, z},{x, y, z}}.
Hence, the number of subsets in the powerset of A is 8.
Free Test
FREE
| Start Free Test |
Community Answer
If A = {x, y, z}, then the number of subsets in powerset of A isa)6b)8...
Explanation:
Given:
A = {x, y, z}
Finding the Power set:
To find the power set of A, we need to consider all possible subsets of A, including the empty set and A itself.
Number of Elements in Set A:
Since A has 3 elements, the number of subsets in the power set can be calculated using the formula 2^n, where n is the number of elements in the set.
Calculating the Number of Subsets:
In this case, n = 3. Therefore, the number of subsets in the power set of A is 2^3 = 8.
Answer:
Therefore, the correct answer is option B, which states that there are 8 subsets in the power set of A.
Given:
A = {x, y, z}
Finding the Power set:
To find the power set of A, we need to consider all possible subsets of A, including the empty set and A itself.
Number of Elements in Set A:
Since A has 3 elements, the number of subsets in the power set can be calculated using the formula 2^n, where n is the number of elements in the set.
Calculating the Number of Subsets:
In this case, n = 3. Therefore, the number of subsets in the power set of A is 2^3 = 8.
Answer:
Therefore, the correct answer is option B, which states that there are 8 subsets in the power set of A.
|
Explore Courses for Civil Engineering (CE) exam
|
|
Similar Civil Engineering (CE) Doubts
Top Courses for Civil Engineering (CE)View all
If A = {x, y, z}, then the number of subsets in powerset of A isa)6b)8c)7d)9Correct answer is option 'B'. Can you explain this answer?
Question Description
If A = {x, y, z}, then the number of subsets in powerset of A isa)6b)8c)7d)9Correct answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about If A = {x, y, z}, then the number of subsets in powerset of A isa)6b)8c)7d)9Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A = {x, y, z}, then the number of subsets in powerset of A isa)6b)8c)7d)9Correct answer is option 'B'. Can you explain this answer?.
If A = {x, y, z}, then the number of subsets in powerset of A isa)6b)8c)7d)9Correct answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about If A = {x, y, z}, then the number of subsets in powerset of A isa)6b)8c)7d)9Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A = {x, y, z}, then the number of subsets in powerset of A isa)6b)8c)7d)9Correct answer is option 'B'. Can you explain this answer?.
Solutions for If A = {x, y, z}, then the number of subsets in powerset of A isa)6b)8c)7d)9Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of If A = {x, y, z}, then the number of subsets in powerset of A isa)6b)8c)7d)9Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If A = {x, y, z}, then the number of subsets in powerset of A isa)6b)8c)7d)9Correct answer is option 'B'. Can you explain this answer?, a detailed solution for If A = {x, y, z}, then the number of subsets in powerset of A isa)6b)8c)7d)9Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of If A = {x, y, z}, then the number of subsets in powerset of A isa)6b)8c)7d)9Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If A = {x, y, z}, then the number of subsets in powerset of A isa)6b)8c)7d)9Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup