If A = {1, {2}, 3}, the power set of A does NOT contain —

2022

If A = {1, {2}, 3}, the power set of A does NOT contain —

  1. A.

    {1}

  2. B.

    {2}

  3. C.

    {1, 3}

  4. D.

    {3}

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Correct answer: B

Set A = {1, {2}, 3} contains three elements: 1 → an element {2} → a set , and treated as a single element 3 → an element So every subset must use 1 , {2} , and 3 exactly as they appear. {2} ✗ NOT valid , because 2 is NOT an element of A , only {2} is.

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