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Number of elements in power set of P(P(\phi )) is

  • Option 1)

    1

  • Option 2)

    2

  • Option 3)

    3

  • Option 4)

    4

 

Answers (1)

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As we learnt 

POWER SET -

The collection of all subsets of a set A is called the power set of A. It is denoted by P(A).
 In P(A) , every element is a set.

 

- wherein

 No.\ of\ elements\ in\ P(A)= 2^{no.\ of\ elements\ in\ the\ set\ A}

 

 Since P(\phi)=\left \{ \phi \right \} has just one element 

P\left (P(\phi) \right )=\left \{ \phi ,\left \{ \phi \right \} \right \} which has 2 elements.

 

 


Option 1)

1

Option 2)

2

Option 3)

3

Option 4)

4

Posted by

Himanshu

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