Question

If P := {1,3), Q = (2,3,5), find the number of relations from A to B
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Answer 1

Given,

P = {1,3} ⇒  Number of elements = 2

Q = {2,3,5} ⇒  Number of elements = 3

$\boxed{\bold{The \:number \:of \:relations \:from \:A \:to \:B =2^{A\times B}}}$

⇒ Number of relations = $2^{2\times 3}$

⇒ Number of relations = $2^6$

⇒ Number of relations = 2 × 2 × 2 × 2 × 2 × 2

⇒ Number of relations = 64

$\boxed{\bold{Number \:of \:relations = 64 }}$