Question

Give detailed Conception of : Power Set

Answer 1

Power Set
A Power Set is a set of all the subsets of a set.

All The Subsets
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 2

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