. Power set of the empty set has


exactly ……..subset

A: One

B: Two

C: Zero

D: Three

 

Best Answer

Explanation:

A power set is a collection of all subsets of a given set.

For example if we have set S as S={1,2}

As set S has 2 elements, so number of subset in power set of S is 22=4

So write subset of set S as given below:

{},{1},{2},{1,2}

The empty set is included in the power set, as is the supplied set as a subset.

There is an empty set in the given question.

As a result, its power set should contain one subset, which is an empty set.

So option A is correct.

Final Answer:

Hence, the correct option is (a) i.e. one.

 

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