Question

please guys answer yhis question. its urgent .

...show that n {P[P.(P( "fie" )]} =4...

❎❎. No spamming .❎❎

Answer 1

n[P{Ф}]=2°=1

n[P{P{Ф}]=2¹=2

n[P{P{P{Ф}]=2²=4


IN WORDS YOU WRITE AS,

subsets of Ф  P{Ф}={Ф}
now subset of P{Ф} are=  Ф,{Ф}

now , P{P{Ф}]={Ф,{Ф}}
subsets of P[P{Ф}] are =  Ф, {Ф}, {{Ф}}, {Ф,{Ф}}

hence, P[P[P{Ф}]={ Ф, {Ф}, {{Ф}}, {Ф,{Ф}} 

 

Answer 2

hii dear ,
here your answer is :-

hope it helps you
have a nice day