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If A = {1, 2, 3}, and B = {3, 6} then the number of relations from A to B is
- a)32
- b)23
- c)23
- d)26
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
If A = {1, 2, 3}, and B = {3, 6} then the number of relations from A t...
The number of relations between sets can be calculated using 2mn where m and n represent the number of members in each set.
So, number of relations from A to B is 26.
So, number of relations from A to B is 26.
Most Upvoted Answer
If A = {1, 2, 3}, and B = {3, 6} then the number of relations from A t...
Solution:
We know that the number of relations from A to B is given by the formula:
n(A x B) = 2^(n(AxB))
where n(A x B) is the number of ordered pairs (a, b) that can be formed from A and B.
In this case, A x B = {(1, 3), (1, 6), (2, 3), (2, 6), (3, 3), (3, 6)}. Therefore, n(A x B) = 6.
Substituting this value in the formula, we get:
n(A to B) = 2^(n(A x B)) = 2^6 = 64
However, we need to remember that a relation from A to B is a subset of A x B. Therefore, the empty set and the set containing all 6 ordered pairs are also considered as relations.
Thus, the total number of relations from A to B is 2^6 - 1 - 1 = 64 - 2 = 62.
Therefore, the correct answer is option 'D' (26).
We know that the number of relations from A to B is given by the formula:
n(A x B) = 2^(n(AxB))
where n(A x B) is the number of ordered pairs (a, b) that can be formed from A and B.
In this case, A x B = {(1, 3), (1, 6), (2, 3), (2, 6), (3, 3), (3, 6)}. Therefore, n(A x B) = 6.
Substituting this value in the formula, we get:
n(A to B) = 2^(n(A x B)) = 2^6 = 64
However, we need to remember that a relation from A to B is a subset of A x B. Therefore, the empty set and the set containing all 6 ordered pairs are also considered as relations.
Thus, the total number of relations from A to B is 2^6 - 1 - 1 = 64 - 2 = 62.
Therefore, the correct answer is option 'D' (26).
Community Answer
If A = {1, 2, 3}, and B = {3, 6} then the number of relations from A t...
The number of relations between sets can be calculated using 2mn where m and n represent the number of members in each set.
So, number of relations from A to B is
26
So, number of relations from A to B is
26
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If A = {1, 2, 3}, and B = {3, 6} then the number of relations from A to B isa)32b)23c)23d)26Correct answer is option 'D'. Can you explain this answer?
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If A = {1, 2, 3}, and B = {3, 6} then the number of relations from A to B isa)32b)23c)23d)26Correct answer is option 'D'. 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 If A = {1, 2, 3}, and B = {3, 6} then the number of relations from A to B isa)32b)23c)23d)26Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A = {1, 2, 3}, and B = {3, 6} then the number of relations from A to B isa)32b)23c)23d)26Correct answer is option 'D'. Can you explain this answer?.
If A = {1, 2, 3}, and B = {3, 6} then the number of relations from A to B isa)32b)23c)23d)26Correct answer is option 'D'. 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 If A = {1, 2, 3}, and B = {3, 6} then the number of relations from A to B isa)32b)23c)23d)26Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A = {1, 2, 3}, and B = {3, 6} then the number of relations from A to B isa)32b)23c)23d)26Correct answer is option 'D'. Can you explain this answer?.
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