JEE Exam > JEE Questions > Let A and B be two finite sets having m and n...
Start Learning for Free
Let A and B be two finite sets having m and n elements, respectively. Then the total number of mapping from A to B is
- a)mn
- b)nm
- c)2mn
- d)mn
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Let A and B be two finite sets having m and n elements, respectively. ...
Solution:
Mapping from set A to set B means assigning each element of set A to an element of set B.
Explanation:
We can choose any of the n elements of set B for the first element of set A.
Similarly, we can choose any of the n elements of set B for the second element of set A, and so on.
Therefore, the total number of mappings from set A to set B is the product of the number of choices for each element of set A.
Since set A has m elements and there are n choices for each element, the total number of mappings is mn.
Hence, option B is the correct answer.
Mapping from set A to set B means assigning each element of set A to an element of set B.
Explanation:
We can choose any of the n elements of set B for the first element of set A.
Similarly, we can choose any of the n elements of set B for the second element of set A, and so on.
Therefore, the total number of mappings from set A to set B is the product of the number of choices for each element of set A.
Since set A has m elements and there are n choices for each element, the total number of mappings is mn.
Hence, option B is the correct answer.
Community Answer
Let A and B be two finite sets having m and n elements, respectively. ...
Consider an element a, which belongs to A and can be mapped to any of the n elements of B, which has n images.
Similarly, each of the m elements of A can have n images in B.
Therefore, the number of mapping = n × n × n × …x m times = nm.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
Let A and B be two finite sets having m and n elements, respectively. Then the total number of mapping from A to B isa)mnb)nmc)2mnd)mnCorrect answer is option 'B'. Can you explain this answer?
Question Description
Let A and B be two finite sets having m and n elements, respectively. Then the total number of mapping from A to B isa)mnb)nmc)2mnd)mnCorrect answer is option 'B'. Can you explain this answer? for JEE 2025 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 finite sets having m and n elements, respectively. Then the total number of mapping from A to B isa)mnb)nmc)2mnd)mnCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let A and B be two finite sets having m and n elements, respectively. Then the total number of mapping from A to B isa)mnb)nmc)2mnd)mnCorrect answer is option 'B'. Can you explain this answer?.
Let A and B be two finite sets having m and n elements, respectively. Then the total number of mapping from A to B isa)mnb)nmc)2mnd)mnCorrect answer is option 'B'. Can you explain this answer? for JEE 2025 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 finite sets having m and n elements, respectively. Then the total number of mapping from A to B isa)mnb)nmc)2mnd)mnCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let A and B be two finite sets having m and n elements, respectively. Then the total number of mapping from A to B isa)mnb)nmc)2mnd)mnCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Let A and B be two finite sets having m and n elements, respectively. Then the total number of mapping from A to B isa)mnb)nmc)2mnd)mnCorrect answer is option 'B'. 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 finite sets having m and n elements, respectively. Then the total number of mapping from A to B isa)mnb)nmc)2mnd)mnCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Let A and B be two finite sets having m and n elements, respectively. Then the total number of mapping from A to B isa)mnb)nmc)2mnd)mnCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Let A and B be two finite sets having m and n elements, respectively. Then the total number of mapping from A to B isa)mnb)nmc)2mnd)mnCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Let A and B be two finite sets having m and n elements, respectively. Then the total number of mapping from A to B isa)mnb)nmc)2mnd)mnCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Let A and B be two finite sets having m and n elements, respectively. Then the total number of mapping from A to B isa)mnb)nmc)2mnd)mnCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE 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