RELATIONS AND FUNCTIONS — MATHS STD 11 Science — Question
Gujarat BoardEnglish MediumSTD 11 ScienceMATHSRELATIONS AND FUNCTIONS1 Mark
Question
Let A = {1, 2} and B = {3, 4}. Find the number of relations from A to B.
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Answer
Given that, $A=\{1,2\}$ and $B=\{3,4\}$
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 $2^4$
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