# T/F) Determine whether 3 is an element of the set: { {3},{3,{3} }, 3}?

Update:

2. How many elements does the power setP({1,{2,3}}) have?

### 4 Answers

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- ?Lv 73 years ago
If a set has 2 elements then its power set has 4 elements.

Example: the power set of {a,b} has the 4 elements ∅, {a}, {b}, {a,b}.

The set in your update has 2 elements, so its power set has 4 elements.

(if a set has n elements then its power set has 2^n elements)

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