1. Tardigrade
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  4. Let n(A) = 8 and n(B) = p. Then, the total number of non-empty relations that can be defined from A to B is

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Q. Let $n(A) = 8$ and $n(B) = p$. Then, the total number of non-empty relations that can be defined from $A$ to $B$ is

Relations and Functions

Solution:

Given $n(A) = 8$ and $n(B) = p$
$\therefore $ Total number of relations from $A$ to $B = 2^{8p}$
$\therefore $ Total number of non-empty relations from $A$ to $B=2^{8p}-1$