MyQuestionIcon

7

You visited us 7 times! Enjoying our articles? Unlock Full Access!

Power Set

If ϕ denote...

Question

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

Open in App

Solution

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

Suggest Corrections

thumbs-up

0

Similar questions

ϕ

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

A, B

are two non-empty sets and

U

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

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

2.

A \cap B = ϕ,

A^{'} \cup B^{'} = U

3.

A \cup B = U,

A^{'} \cap B^{'} = ϕ

4.

A \subset B,

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

ϕ

denote the null set)

Q. A null set is denoted by _____________.

A, B

are two non-empty sets and

U

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

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

2.

A \cap B = ϕ,

A^{'} \cup B^{'} = U

3.

A \cup B = U,

A^{'} \cap B^{'} = ϕ

4.

A \subset B,

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

ϕ

denote the null set)

A = {ϕ, {(ϕ)}}

, then the power set

P (A)

A

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Power Set

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon