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KCET2022MathematicsSets and Relations

If A= 1,2,3, , 10 , then number of subsets of A containing only odd numbers is

Options

  1. A31
  2. B27
  3. C32
  4. D30

Correct answer

A. 31

Step-by-step solution

Given, A= 1,2,3, , 10 Set A containing only odd number = 1,3,5,7,9 Number of subsets =2^5 [it contains empty set also] The required number of subsets of A containing only odd number =2^5-1 =32-1=31

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