If , then what is the cardinality of the power set ?

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answer is C.

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Detailed Solution

Concept- The set or group of all subsets for any given set, including the empty set, has been defined as a power set. The cardinal number of a set is indeed the number of elements or members in that set.
We know that cardinality is indeed the number of elements in a set.
We also know that the number of elements in the power set of a set containing n elements is

.
Here,

,
So, the number of elements in power set of

Hence, the correct answer is option 3.

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