Q94 / 180 · KCET 2020 · Mathematics

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
  • Correct answer
    D
    5

Solution

Given, $n(\Lambda)=2$ let $n(B)=n$ Total number of relations from set $A$ to set $B$ is $2^{2 n}=1024$ $2^{2 n}=2^{10} \Rightarrow 2 n=10 \Rightarrow n=5$

Hence, the correct answer is option: 'D'.

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