Question

If R is a relation from a finite set A having 4 elements to a finite set B having 3 elements, then what is the relation from a to b

Answer 1

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Answer 2

Answer:

Number of relations = 4096

Step-by-step explanation:

Total elements in set A = 4

Total elements in set B = 3

The number of ordered pairs of set A × B = 4 × 3 = 12

We also know that if a set has N elements then the number of subsets of A are 2^N

Therefore, for A × B there can as many relations as the number of subsets of A × B

The number of subsets of A × B = 2¹²

Therefore the number of relations = 2¹² = 4096

Hope this is helpful.