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Let n(A) = m and n (B) = n , Then the total number of non - empty relations that can be defined from A to B is (i) mn - 1 (ii) 2^mn - 1?
Most Upvoted Answer
Let n(A) = m and n (B) = n , Then the total number of non - empty rela...
N(A)=m,
n(B)=n,
n(A×B)=m×n=mn,
the total number of non empty relation that can be defined from A to B=2^mn-1,
this is because ø (null set is not required)
so, (ii) is correct
Community Answer
Let n(A) = m and n (B) = n , Then the total number of non - empty rela...
N(A)=m... n(B)=n... n(A×B)=mn
Total number of relations from A to B= Subsets of A×B= 2^mn.
so, The total number of non empty relations= 2^mn -1
Therefore the correct answer is (ii)
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Let n(A) = m and n (B) = n , Then the total number of non - empty relations that can be defined from A to B is (i) mn - 1 (ii) 2^mn - 1? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Let n(A) = m and n (B) = n , Then the total number of non - empty relations that can be defined from A to B is (i) mn - 1 (ii) 2^mn - 1? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let n(A) = m and n (B) = n , Then the total number of non - empty relations that can be defined from A to B is (i) mn - 1 (ii) 2^mn - 1?.
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