For a set {\A}, consider the following statements: I. {\A} \cup {\P}( {\A})= {\P}( {\A}) II. \{ {\A}\} \cap {\P}( {\A})=( {\A}) III. {\P}( {\A})-\{ {\A}\}= {\P}( {\A}) where {\P} denotes the power set. Which of the statements given above is\/are correct?

UPSC NDA I 2010 Mathematics Paper

Question : 23 of 120

Marks: +1, -0

For a set A, consider the following statements:
I. A∪P(A)=P(A)
II. {A}∩P(A)=(A)
III. P(A)−{A}=P(A)
where P denotes the power set.
Which of the statements given above is\/are correct?

I only
II only
III only
I, II and III

Validate

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