Question

(1). Let A= {1,2,3}.How many elements jn P(A)?
(2). Let U={1,2,3,4,5,6,7} , A={1,4,6,7} and B={1,2,3}.

Find A' , B' A'∩B' and A∪B and hence show that (A∪B)'= A'∩B' ?
(3). If A and B are two sets such that A⊂B . Then what is A∩B ?​

Answer 1

Answer:

=1

Hence, P(A) has one element

Step-by-step explanation:

We know that if A is a set with m elements i.e., n(A)=m,

then, n[P(A)]=2

m

.

If A=ϕ, then n(A)=0

∴n[P(A)]=2

o

=1

Hence, P(A) has one element