If n(A) = m and n(B)= n, find the total number of non-empty relations that can be defined from A to B.

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Solution

Given, n(A) = m and n(13) = n

$∵$ Total number of relations from A to $B = 2^{m n}$

$∴$ Total number of non-empty relations from A to $B = 2^{m n} - 1$

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