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COMEDK2022MathematicsSets and Relations

Total number of elements in the power set of A containing 17 elements is

Options

  1. A2¹⁷⁺¹
  2. B2¹⁷⁻¹
  3. C17^2-1
  4. D2¹⁷

Correct answer

D. 2¹⁷

Step-by-step solution

The power set of a set A is defined as the set of all subsets of A . If a set A has n elements, then the number of elements in its power set, denoted by P(A) , is given by 2^n . Given that the set A contains n = 17 elements, the number of elements in the power set of A is 2¹⁷ . Answer: 2¹⁷

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