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Question: Answered & Verified by Expert
If $n(A)=2$ and total number of possible relations from Set A to set B is 1024 , then $n(B)$ is
MathematicsSets and RelationsKCETKCET 2020
Options:
  • A 512
  • B 20
  • C 10
  • D 5
Solution:
2088 Upvotes Verified Answer
The correct answer is: 5
Given, $n(\Lambda)=2$ let $n(B)=n$
Total number of relations from set $A$ to set $B$ is $2^{2 n}=1024$
$2^{2 n}=2^{10} \Rightarrow 2 n=10 \Rightarrow n=5$

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