Question

if x=phi then find n(P(X))​

Answer 1

Answer:

1

Step-by-step explanation:

1.) The set $X=\phi=\{\}$ is empty and has a cardinal number 0 ($n(\phi)=0$)

2.) The power set of X is given by $P(X)=\{\phi\}$

3.) The cardinal number of P(X)= 1

Answer 2

Answer:

n[P(X)] = 1

Step-by-step explanation:

Formula used:

If A has m elements, then number of subsets of A is $2^m$

Here, P(A) is the power set of A

That is

If n(A)=m, then $n[P(A)]=2^m$

Given:

$X=\phi$={ }

Here X is an empty set.

It contains no elements.

Hence n(X)=0

Then,

$n[P(X)]=2^0=1$