Question

Give Some Information on : Power Set

Answer 1

@Muskan @abhi_abhi @electrokid

Answer 2

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.

Answer 3

2^s you mean

Answer 4

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}}.

Answer 5

you just copied and pasted wiki

Answer 6

yes @Jonask

Answer 7

i am just reading it now

Answer 8

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.

Answer 9

Thanks

Answer 10

ur wlc ;)