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goformit100
 2 years ago
Give Some Information on : Power Set
goformit100
 2 years ago
Give Some Information on : Power Set

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goformit100
 2 years ago
Best ResponseYou've already chosen the best response.0@Muskan @abhi_abhi @electrokid

Muskan
 2 years ago
Best ResponseYou've already chosen the best response.1In 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.

abhi_abhi
 2 years ago
Best ResponseYou've already chosen the best response.0he 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}}.

Jonask
 2 years ago
Best ResponseYou've already chosen the best response.0you just copied and pasted wiki

Jonask
 2 years ago
Best ResponseYou've already chosen the best response.0i am just reading it now

abhi_abhi
 2 years ago
Best ResponseYou've already chosen the best response.0If 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.
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