Question

Give detailed Conception of : Power Sets

Answer 1

@Eyad

Answer 2

@nader1

Answer 3

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

Answer 4

Give detailed Conception of : subsets of a set.

Answer 5

Example: in the {a,b,c} example above, there are three members (a,b and c of course).
So, the Power Set should have 23 = 8

Answer 6

mm detail

Answer 7

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}

Answer 8

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

How Many Subsets
Easy! If the original set has n members, then the Power Set will have 2n members

Answer 10

*2^n

Answer 11

voila

Answer 12

Thanks @nader1

Answer 13

n represents ?

Answer 14

*voila means ?? @nader1

Answer 15

i give you an example to understand of n Example: in the {a,b,c} example above, there are three members (a,b and c of course).
So, the Power Set should have 23 = 8, which it doe

Answer 16

n is the number of objects in a set..

C = {2, 3, 4}

Here, n = 3.. as there are three members ie 2, 3 and 4 in that set..

Answer 17

I got it thanks.

Answer 18

voila it is word a french here that come

Answer 19

I did not get you, what is the meaning of it??

Here we go??

Answer 20

like you give a final answer

Answer 21

I have read it somewhere in novel I think, but forget its meaning, Yeah Okay I get it..