JEE Exam > JEE Questions > Let A and B be two sets containing four and t...
Start Learning for Free
Let A and B be two sets containing four and two elements respectively.Then the number of subsets of the set A×B,each having atleast three elements is:
- a)219
- b)256
- c)275
- d)510
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Let A and B be two sets containing four and two elements respectively....
⇒ Number of elements in Set A = 4
⇒ Number of elements in Set B = 2
∴ Number of elements in set (A × B) = 8
∴ Total number of subsets of (A×B) = 28 = 256
⇒ Number of subsets having 0 elements = 8C0 = 1
⇒ Number of subsets having 1 element = 8C1 = 8
⇒ Number of subsets having 2 elements = 8C2 = 28
∴ Number of subsets having atleast 3 elements = 256 - 1 - 8 - 28 = 219
⇒ Number of elements in Set B = 2
∴ Number of elements in set (A × B) = 8
∴ Total number of subsets of (A×B) = 28 = 256
⇒ Number of subsets having 0 elements = 8C0 = 1
⇒ Number of subsets having 1 element = 8C1 = 8
⇒ Number of subsets having 2 elements = 8C2 = 28
∴ Number of subsets having atleast 3 elements = 256 - 1 - 8 - 28 = 219
Most Upvoted Answer
Let A and B be two sets containing four and two elements respectively....
The number of subsets of a set with n elements is 2^n. Therefore, the number of subsets of set A, which contains 4 elements, is 2^4 = 16.
Community Answer
Let A and B be two sets containing four and two elements respectively....
Elements in A*B IS 8
SO ans.is 2^8-8c1-8c2-8c0
256-8-28-1=219
SO ans.is 2^8-8c1-8c2-8c0
256-8-28-1=219
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
Let A and B be two sets containing four and two elements respectively.Then the number of subsets of the set A×B,each having atleast three elements is:a)219b)256c)275d)510Correct answer is option 'A'. Can you explain this answer?
Question Description
Let A and B be two sets containing four and two elements respectively.Then the number of subsets of the set A×B,each having atleast three elements is:a)219b)256c)275d)510Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let A and B be two sets containing four and two elements respectively.Then the number of subsets of the set A×B,each having atleast three elements is:a)219b)256c)275d)510Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let A and B be two sets containing four and two elements respectively.Then the number of subsets of the set A×B,each having atleast three elements is:a)219b)256c)275d)510Correct answer is option 'A'. Can you explain this answer?.
Let A and B be two sets containing four and two elements respectively.Then the number of subsets of the set A×B,each having atleast three elements is:a)219b)256c)275d)510Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let A and B be two sets containing four and two elements respectively.Then the number of subsets of the set A×B,each having atleast three elements is:a)219b)256c)275d)510Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let A and B be two sets containing four and two elements respectively.Then the number of subsets of the set A×B,each having atleast three elements is:a)219b)256c)275d)510Correct answer is option 'A'. Can you explain this answer?.
Solutions for Let A and B be two sets containing four and two elements respectively.Then the number of subsets of the set A×B,each having atleast three elements is:a)219b)256c)275d)510Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Let A and B be two sets containing four and two elements respectively.Then the number of subsets of the set A×B,each having atleast three elements is:a)219b)256c)275d)510Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Let A and B be two sets containing four and two elements respectively.Then the number of subsets of the set A×B,each having atleast three elements is:a)219b)256c)275d)510Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Let A and B be two sets containing four and two elements respectively.Then the number of subsets of the set A×B,each having atleast three elements is:a)219b)256c)275d)510Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Let A and B be two sets containing four and two elements respectively.Then the number of subsets of the set A×B,each having atleast three elements is:a)219b)256c)275d)510Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Let A and B be two sets containing four and two elements respectively.Then the number of subsets of the set A×B,each having atleast three elements is:a)219b)256c)275d)510Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup