Question

For my exams please don't fake
(i) If n(A) = 4, find n[ P(A) ]
(ii) If n[ P(A) ] = 256, find n (A).

20 points

Answer 1

Answer:

there is a formula for finding no of elements in a power set :

if n(A)=n elements then

n(P(A)) = 2 raised to n elements. According to this

if n[P(A)] = 256 = 2 raised to n elements [where n is no. of elements in set A ]

therefore n = 8 as 2 raised to 8 = 256. hope it helped.....

PLZ MARK ME AS BRAINLIEST

Answer 2

Answer:

If n(A) = 4

N(p(A) = 44=8

[Use the formula n(p(A)=2n,wheren=numberofelementsinthesetA]