If the set of $A$ has $n$ elements, then the total number of subsets of $A$ is:

$n$

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$n^{2}$

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$2^{n}$

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$2 n$

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Solution

The correct option is C
$2^{n}$

Explanation of correct option.
If any set consists of $n$ elements, the total number of subsets of the given set is $2^{n}$ .
For example: consider the set $A = {1, 2, 3}$
There are three elements in this set.
Therefore, the number of subsets will be $2^{3} = 8 s u b s e t s .$
Hence the correct option is (C).

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If the set of A has n elements, then the total number of subsets of A is:

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