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goformit100 Group Title

Give Some Information on : Power Set

  • one year ago
  • one year ago

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  1. goformit100 Group Title
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    @Muskan @abhi_abhi @electrokid

    • one year ago
  2. Muskan Group Title
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    In mathematics, the power set (or powerset) of any set S, written , P(S), ℙ(S) ℘(S) or 2S, is the set of all subsets of S, including the empty set and S itself. In axiomatic set theory (as developed, for example, in the ZFC axioms), the existence of the power set of any set is postulated by the axiom of power set.

    • one year ago
  3. Jonask Group Title
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    2^s you mean

    • one year ago
  4. abhi_abhi Group Title
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    he power set of {1,2,3,4} is {{}, {1}, {2}, {1,2}, {3}, {1,3}, {2,3}, {1,2,3}, {4}, {1,4}, {2,4}, {1,2,4}, {3,4}, {1,3,4}, {2,3,4}, {1,2,3,4}}.

    • one year ago
  5. Jonask Group Title
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    you just copied and pasted wiki

    • one year ago
  6. Muskan Group Title
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    yes @Jonask

    • one year ago
  7. Jonask Group Title
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    i am just reading it now

    • one year ago
  8. abhi_abhi Group Title
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    If we have a set {a,b,c}: Then a subset of it could be {a} or {b}, or {a,c}, and so on, And {a,b,c} is also a subset of {a,b,c} (yes, that's true, but its not a "proper subset") And the empty set {} is also a subset of {a,b,c} In fact, if you list all the subsets of S={a,b,c} you will have the Power Set of {a,b,c}: P(S) = { {}, {a}, {b}, {c}, {a, b}, {a, c}, {b, c}, {a, b, c} } Think of it as all the different ways you can select the items (the order of the items doesn't matter), including selecting none, or all.

    • one year ago
  9. goformit100 Group Title
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    Thanks

    • one year ago
  10. Muskan Group Title
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    ur wlc ;)

    • one year ago
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