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Question:
If A & B are two sets containing respectively m and n elements. How many different relations can be defined for A & B
Answer:

Relation from A to B is set of ordered pair |A*B| = m*n

Total number of elements in a set is given by its power set P(A) = 2m

So, total number of relations from A to B is the power set of A*B

i.e. P(|A*B|) = 2(m*n)

 

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