question archive Let P(S)  be the collection of all subsets of S , and Q(S)  be the collection of all proper subsets of S

Let P(S)  be the collection of all subsets of S , and Q(S)  be the collection of all proper subsets of S

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Let P(S)

 be the collection of all subsets of S

, and Q(S)

 be the collection of all proper subsets of S

.

Which of the following hold for every set S

?

A) P(S)⊆Q(S)

B) P(S)⊇Q(S)

C) P(S)⊃Q(S)

D) P(S)=Q(S)

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