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COMEDK2023MathematicsSets and Relations

If n(A)=p and n(B)=q , then the numbers of relations from the set A to the set B is

Options

  1. A2^ p+q
  2. B2^ p q
  3. Cp+q
  4. Dp q

Correct answer

B. 2^ p q

Step-by-step solution

Given, n(A)=p and n(B)=q n(A B)=p q The number of relations from a set A to a set B is same as the total number of subset of the set A B . We know that if n(A)=k , then n(P(A))=2^k Now, the total number of subset of A B be 2^ p q Then number of relations from the set A to the set B is 2^ p q .

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