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goformit100

  • 3 years ago

Give Some Information on : Power Set

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  1. goformit100
    • 3 years ago
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    @Muskan @abhi_abhi @electrokid

  2. Muskan
    • 3 years ago
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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.

  3. Jonask
    • 3 years ago
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    2^s you mean

  4. abhi_abhi
    • 3 years ago
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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}}.

  5. Jonask
    • 3 years ago
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    you just copied and pasted wiki

  6. Muskan
    • 3 years ago
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    yes @Jonask

  7. Jonask
    • 3 years ago
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    i am just reading it now

  8. abhi_abhi
    • 3 years ago
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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.

  9. goformit100
    • 3 years ago
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    Thanks

  10. Muskan
    • 3 years ago
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    ur wlc ;)

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