Question

Show that n{P(P(P(phi)))}=4

Answer 1

question based on power set

Step-by-step explanation:

first of all we see the meaning of power set:it is defined as the number of subsets of the set.

for e.g. if a set A={1,2} then the number of subsets of this set will be 4 i.e. {},{1},{2},{1,2}.

now p{phi} means that number of subsets of a set which contain no element which is equal to 1. therefore p{p{phi}} contains 2 elements. so p{p{p{phi}}} will contain 4 elements