Question

If a finite set A has 2 elements then power set of A will contain______ elements.​

Answer 1

$\huge✎\fbox \orange{QUE} ST \fbox\green{ION}☟$

If a finite set A has 2 elements then power set of A will contain______ elements.

$\huge✍︎\fbox\orange{ÂŇ}\fbox{SW} \fbox\green{ÊŘ}:$

Brother/Sister your correct answer is:

Answer = 4

$\orange{2²} = \green {2×2} = \large\bold \blue4$

$\bold\red{\overbrace{\underbrace \mathbb\blue{Please \: Mark \: As \: The \: Brainliest\: If\: It\: Satisfied\:You}}}$

꧁Hopes so that this will help you,꧂

♥️With Love♥️

️✌︎Thanking you, your one of the Brother of your 130 Crore Indian Brothers and Sisters.✌︎

$\large\red{\underbrace{\overbrace\mathbb{\colorbox{aqua}{\colorbox{blue}{\colorbox{purple}{\colorbox{pink}{\colorbox{green}{\colorbox{gold}{\colorbox{silver}{\textit{\purple{\underline{\red{《❀DÎVYĀ᭄ÑSHÛ✿》࿐}}}}}}}}}}}}}}$

Answer 2

$\huge✎\fbox \orange{QUE} ST  \fbox\green{ION}☟$

If a finite set A has 2 elements then power set of A will contain______ elements.​

$\huge✍︎\fbox\orange{ÂŇ}\fbox{SW} \fbox\green{ÊŘ}:$

Brother/Sister your correct answer will be: 4 Elements

Explanation:-

If A be a finite set having n elements and P(A) is its power set then total number of subsets of P(P(A)) is 2n. As each element has two possibilities

(present or absent), possible subsets are:

${\:2\times2\times2. \:n \:times \:= \:2^n.}$

$Therefore,\: power\: set \:contains\: \green {2^n\: elements.}$

$So, \:it \:will\: be \:2^2\:(elements).$

$\bold\red{\overbrace{\underbrace \mathbb\blue{Please \:  Mark \:  As \:  The \:  Brainliest\: If\: It\: Satisfied\:You}}}$

꧁Hopes so that this will help you,꧂

♥️With Love♥️

✌︎Thanking you, your one of the Brother of your 130 Crore Indian Brothers and Sisters.✌︎

$\large\red{\underbrace{\overbrace\mathbb{\colorbox{aqua}{\colorbox{blue}{\colorbox{purple}{\colorbox{pink}{\colorbox{green}{\colorbox{gold}{\colorbox{silver}{\textit{\purple{\underline{\red{《❀PŘÎ᭄ŇCĒ✿》࿐}}}}}}}}}}}}}}$