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KCET2020MathematicsSets and Relations

If n(A)=2 and total number of possible relations from Set A to set B is 1024 , then n(B) is

Options

  1. A512
  2. B20
  3. C10
  4. D5

Correct answer

D. 5

Step-by-step solution

Given, n( )=2 let n(B)=n Total number of relations from set A to set B is 2^ 2 n =10242^ 2 n =2¹⁰ 2 n=10 n=5

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