Question

write the power set the set A(2,4)

Answer 1

» Power set of a set A is defined as the set of all subsets of A including empty set { } and itself.
» If the set A has n elements then the power set has 2^n subsets.
» Given,
set A {2,4}

Power set of set A {2,4} :-
P(A) = { { } , {2} , {4} , {2,4} }

Hope it helps

Answer 2

>> Power set of a set is the set of all possible subsets of the given set including the empty set and the set itself
>> Numbers of elements in power set of a set with n elements is defined as 2^n

Given set A={2,4}
n(A) =2
So, number of power sets =2^2=4
Power sets P(A) = {∅}, {2},{4},{2,4}.