Question

Write down the power set of set E = ∅

Answer 1

Set :- A collection of well defined objects. A set may have infinite or finite objects .Every object is called element of the set.

Subset :- It is the set of few or all elements of a set.

Power set :- It is the set of all subsets of the set including itself and the empty set.

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Given set E = { Ø }

Number of elements n ( E) = 0 as Ø can't be considered as a element, it just signifies the emptiness of the set

Number of elements in the power set = 2^n(E) .

Number of elements in the power set E , P ( E) = 2^0 = 1 .

The power set of E = { Ø }

Hope helped! ^^

Answer 2

Hi ,

It is given that ,

E = { }

n( E ) = cordinal Number of set E

= number of elements in E

= 0

Number of subsets E = 2^n( E )

= 2^0

= 1

Power set of E = Set of all subsets

of Set E

P( E ) = { { } }

I hope this helps you.

: )