Sets-Relations-And-Functions Question 158
Question: If P denotes the power set of A and A is the void set, then what is number of elements in $ P{P{P{P(A)}}} $ ?
Options:
A) 0
B) 1
C) 4
D) 16
Correct Answer: D $ \therefore P{P(A)}=2^{n}=2 $
because if set A has n elements then $ P(A) $ has $ 2^{n} $ elements. $ \Rightarrow P{{{P{P(A)}=2}}^{2}}=16 $ $ \Rightarrow P{P{P{P(A)}}}=2^{2^{2^{2}}}=2^{16}=65536 $
Show Answer
Answer:
Solution:
BETA
