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List all the subsets of the set {1,2,{3,4},5}

Question

List all the subsets of the set {1,2,{3,4},5}

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Solution

Sure, here are all the subsets of the set {1,2,{3,4},5}:

  1. {}
  2. {1}
  3. {2}
  4. {{3,4}}
  5. {5}
  6. {1,2}
  7. {1,{3,4}}
  8. {1,5}
  9. {2,{3,4}}
  10. {2,5}
  11. {{3,4},5}
  12. {1,2,{3,4}}
  13. {1,2,5}
  14. {1,{3,4},5}
  15. {2,{3,4},5}
  16. {1,2,{3,4},5}

Please note that the empty set {} is a subset of every set.

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