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Previous Year Question (PYQs)



The total number of relations that exist from a set $A$ with $m$ elements into the set $A \times A$ is:





Solution

Relations are subsets of $A \times (A \times A)$ 
 Size = $m \cdot m^2 = m^3$ 
 Total relations $= 2^{m^3}$ Not present in options.


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