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Power Set

If ϕ denote...

Question

If $ϕ$ denotes null set then $P (P (P (ϕ)))$ is-

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Solution

Let $P (ϕ) = (ϕ)$
$P (P (ϕ)) = {ϕ, {ϕ}}$
$P (P (P ($ $ϕ$ $))) =$ ${$ $ϕ$ , ${$ $ϕ$ $}$ , ${{$ $ϕ$ $}}$ , ${$ $ϕ$ , ${$ $ϕ$ $}}}$ .

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denotes the empty set, then which of the folowing is correct

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Q. A null set is denoted by _____________.

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be the universal set. Then which of the following statements is/are true?

1. n (A \cup B)^{'} = n (A^{'} \cap B^{'})

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, then the power set

P (A)

A

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