Let $n (A) = m, n (B) = n$ , then the total number of non-empty relations that can be defined from $A$ to $B$ is

2^{m n}

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(m n)^{2} - 1

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(m n - 1)^{2}

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2^{m n} - 1

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Solution

The correct option is D $2^{m n} - 1$
Total relations $= 2^{m n}$
$∴$ Non- empty relations $= 2^{m n} - 1$

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