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Help me understand! Power set of {1,2,3} is

Power set of {1,2,3} is

  • Option 1)

    P(A)=\left \{\phi ,\left \{ 1 \right \},\left \{ 2 \right \},\left \{ 3 \right \},\left \{ 1,2 \right \},\left \{ 1,3 \right \}\left \{ 2,3 \right \}}{ \right \}

  • Option 2)

    P(A)=\left \{\left \{ 1 \right \},\left \{ 2 \right \},\left \{ 3 \right \},\left \{ 1,2 \right \},\left \{ 1,3 \right \}\left \{ 2,3 \right \},\left \{ 1,2,3 \right \}}{ \right \}

  • Option 3)

    P(A)=\left \{\left \{ { \right \},\left \{ 1 \right \},\left \{ 2 \right \},\left \{ 3 \right \},\left \{ 1,2 \right \},\left \{ 1,3 \right \}\left \{ 2,3 \right \},\left \{ 1,2,3 \right \}}{ \right \}

  • Option 4)

    none of the above

 
Answers (1)
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As we learnt 

 

UNIVERSAL SET -

 

A set that contains all sets in a given context is called the “Universal Set”. The universal set is usually denoted by U, and all its subsets by the letters A, B, C, etc.

- wherein

R is the universal set of N,W and Z.

 

 This shows all the subsets of {1,2,3}

 


Option 1)

P(A)=\left \{\phi ,\left \{ 1 \right \},\left \{ 2 \right \},\left \{ 3 \right \},\left \{ 1,2 \right \},\left \{ 1,3 \right \}\left \{ 2,3 \right \}}{ \right \}

Option 2)

P(A)=\left \{\left \{ 1 \right \},\left \{ 2 \right \},\left \{ 3 \right \},\left \{ 1,2 \right \},\left \{ 1,3 \right \}\left \{ 2,3 \right \},\left \{ 1,2,3 \right \}}{ \right \}

Option 3)

P(A)=\left \{\left \{ { \right \},\left \{ 1 \right \},\left \{ 2 \right \},\left \{ 3 \right \},\left \{ 1,2 \right \},\left \{ 1,3 \right \}\left \{ 2,3 \right \},\left \{ 1,2,3 \right \}}{ \right \}

Option 4)

none of the above

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