JEE MATHEMATICS MCQ: SET THEORY

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Application +4 | -1

P(A)

denotes the power set of

A

and

A

is the void set, then what is number of elements in

P\{P\{P\{P(A)\}\}\} ?

View answer and explanation

Correct option: D

Option D (16) is correct because the power set of the power set is calculated iteratively, doubling the number of elements at each step.

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S

2 a_1 a_2 a_3 \ldots . . a_{2006}

a_1, a_2, a_3, \ldots ., a_{2006}

S

a N=\{a n: n \in N: b N=\{n b: n \in N\}

c N=\{c N: n \in N\}

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b, c

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\}

B=\{x: x

A-B

F(n)

n

[\mathrm{F}(20) \cap \mathrm{F}(16)] \subseteq \mathrm{F}(\mathrm{y})

40 \%

A, 20 \%

10 \%

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A

C

4 \%

A

C

2 \%

A