if the total number of relations that can be defined from a set A to S

1.	if the total number of relations that can be defined from a set A to Set B is 256 if n(A) =2 n(B)= ?
Answer» Answer: Counting RELATIONS. Since any subset of A × B is a relation from A to B, it follows that if A and B are finite SETS then the number of relations from A to B is 2\|A×B\| = 2\|A\|·\|B\|. ONE way to SEE this is as the number of subsets of A × B.

if the total number of relations that can be defined from a set A to Set B is 256 if n(A) =2 n(B)= ?

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Answer:

Counting RELATIONS. Since any subset of A × B is a relation from A to B, it follows that if A and B are finite SETS then the number of relations from A to B is 2|A×B| = 2|A|·|B|. ONE way to SEE this is as the number of subsets of A × B.

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if the total number of relations that can be defined from a set A to Set B is 256 if n(A) =2 n(B)= ?​

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if the total number of relations that can be defined from a set A to Set B is 256 if n(A) =2 n(B)= ?