Question

If A and B are non empty sets , then P(A) U P(B) is equal to
A) P(AUB)
B) P(A intersectionB )
C) none of these
And how please explain

Answer 1

Step-by-step explanation:

A.P(AUB)

this is a answer

Answer 2

Answer:

FORMULA USED :

If a set has 'n' elements , then it's power set has 2ⁿ elements .

Let A = { 1 , 2 }

Then , P(A) will have 2² elements = 4 elements .

Let B = { 3 , 4 }

Then , P(B) will have 2² elements = 4 elements .

Now , number of elements in P(A) U P( B ) = 8 .

But ,

In P ( A U B ) , number of elements = 2⁴ = 16 .

Hence , option - ( a ) is incorrect .

In P ( A intersection B ) , number of elements = (2)^0 = 1 .

Hence , option - ( B ) is also incorrect .

Hence , option - ( c ) is correct .