
Power set of empty set has exactly __________ subset.
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2
0
3
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2
0
3
Hint: Power set of any set(S) includes the empty set as its subset and set S itself also. Number of subset in power set of set S having n element is
Complete step-by-step solution -
In general, a power set is a set of all subsets of a given set.
For example if we have set S as
As set S has 2 elements , so number of subset in power set of S is
So we can write subset of set S as given below:
For the given question,
So we can see the power set includes the empty set and the given set itself as a subset.
So in the given question we have an empty set {ф}.
So its power set should have one subset which is an empty set itself.
P(ф)= {ф}.
n = 1.
Number of subset in power set of set S having n element is
As set has 1 element which is null , so number of subset in power set is
So option B is correct.
Note: As we discussed the number of subset in the power set given by










