Given two finite sets A and B such that n(A) = 2, n(B) = 3 . Then total number of relations from A t

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2.Relations and Functions

easy

Given two finite sets $A$ and $B$ such that $n(A) = 2, n(B) = 3$. Then total number of relations from $A$ to $B$ is

$4$

$8$

$64$

None of these

Solution

Since every subset of $A × B$ defines a relation from $A$ to $B$, number of relation from $A$ to $B$ is equal to number of subsets of $A \times B = {2^6} = 64$.

Standard 11

Mathematics

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roster form

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easy

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$(a, b) \in R,$ implies $(b, a) \in R$

easy

Given two finite sets $A$ and $B$ such that $n(A) = 2, n(B) = 3$. Then total number of relations from $A$ to $B$ is

Solution

Similar Questions

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