Let A={1,2} and B={3,4} . number of relations from A to B .

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2.Relations and Functions

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Let $A=\{1,2\}$ and $B=\{3,4\} .$ Find the number of relations from $A$ to $B .$

Option A

Option B

Option C

Option D

Solution

We have,

$A \times B=\{(1,3),(1,4),(2,3),(2,4)\}$

Since $n( A \times B )=4,$ the number of subsets of $A \times B$ is $2^{4} .$

Therefore, the number of relations from $A$ into $B$ will be $2^{4}$.

Standard 11

Mathematics

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