KCET · Maths · Sets and Relations
If \(n(A)=2\) and total number of possible relations from Set A to set B is 1024 , then \(n(B)\) is
- A 512
- B 20
- C 10
- D 5
Answer & Solution
Correct Answer
(D) 5
Step-by-step Solution
Detailed explanation
Given, \(n(\Lambda)=2\) let \(n(B)=n\)
Total number of relations from set \(A\) to set \(B\) is \(2^{2 n}=1024\)
\(2^{2 n}=2^{10} \Rightarrow 2 n=10 \Rightarrow n=5\)
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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