Question

1.If A={a,{b}} then P(A) =

a) 1

b) 2

c) 4

d) 8​

Answer 1

Answer:

A = {1,2,3}

B : set of all subsets of A

List out all the subsets of A - {1},{2},{3},{1,2},{2,3},{1,3},{1,2,3},{empty set}

Number of elements in A (n) =$3 so 2^3 = 8$

So, B = {{1},{2},{3},{1,2},{2,3},{1,3},{1,2,3},{empty set}} and the number of elements are 8.

Answer 2

$\huge \mathcal \red {\underline{\underline{A}}} \huge \mathcal \green {\underline{\underline{N}}} \huge \mathcal \pink {\underline{\underline{S}}} \huge \mathcal \blue {\underline{\underline{W}}} \huge \mathcal \orange {\underline{\underline {E}}} \huge \mathcal \purple {\underline{\underline{R}}} ✧$

$\large\bold\red{Number \: of \: elements \: in \: power \: set \: of \: A \: consisting \: of \: 'n' \: elements \: = {2}^{n} }$

Since , A={a,{b}}

=> number of elents in set A, n(A) = 2

then number of elements in P(A) = 2² = 4.

So, option C is correct.

$\red{\textsf{(✪MARK BRAINLIEST✿)}} \\ \huge\fcolorbox{aqua}{aqua}{\red{FolloW ME}}$

$\huge \fcolorbox{black}{cyan}{♛Hope it helps U♛}$