Register

Power Set of Empty Set

600 views

1 Answer

1 votes
1 votes

P[P[P($\Phi$)]] contains 4 elememts.

Now, #non-empty subsets

= $\binom{4}{1}+\binom{4}{2}+\binom{4}{3}$

= 24 - $\binom{4}{0} - \binom{4}{4}$

= 14

User Avatar
Voting & Accepting an answer helps improve the community
← PreviousNext →
← Previous in categoryNext in category →

Related questions

0 votes
0 votes
1 answer
1
shain asked Jun 1, 2016
1,535 views
Why is the power-set of a finite non-empty alphabet sigma* is uncountable where as the sigma* is countable ?
User Avatar
0 votes
0 votes
1 answer
2
Souvik33 asked Jan 5, 2023
399 views
Set Theory, Basic | Power of a set
Given set A= {a,b}$^3$ What do the formed set look like and what is |A| (cardinility of A)
Given set A= {a,b}$^3$What do the formed set look like and what is |A| (cardinility of A)
User Avatar
1 votes
1 votes
1 answer
3
Vaijenath Biradar asked Aug 22, 2015
2,685 views
If A={1,2} then P(A) INTERSECTION P(P(A)) =? where P(A) is power set of A.
User Avatar
3 votes
3 votes
2 answers
4
srestha asked Dec 28, 2017
567 views
Power Set
$R=P\left ( P\left ( P\left ( \phi \right ) \right ) \right )$ $T=P\left ( P\left ( \left \{ 1,2 \right \} \right ) \right )$ What is cardinality of set $S$, where $S=R\times T$
$R=P\left ( P\left ( P\left ( \phi \right ) \right ) \right )$$T=P\left ( P\left ( \left \{ 1,2 \right \} \right ) \right )$What is cardinality of set $S$, where $S=R\tim...
User Avatar
Link Copied!