Question

If a set is empty then number of subsets will be

Answer 1

If a set is empty, then the number of subsets will be $1$

Tips:

If a set has $n$ number of elements, then it has $2^{n}$ number of subsets and $2^{n-1}$ number of proper subsets.

• Also, every set is its own subset.

Step-by-step explanation:

• Here, since the given set is empty, that is a Null Set, it has no elements.

• But since every set is its own subset, the null set is its own subset.

• Thus Null Set is a subset of Null Set. There is only one such case.

Another way:

Here, number of elements = 0

So, number of subsets = $2^{0}$ = 1