Question 6: What is the number of elements of the power set of each of the following sets?
\((i)\) \(\;\) \(\{\ \}\)
Solution:
\(n=0\)
\(2^0=1\)
There is \(1\) element in the power set.
Explanation:
If a set has \(n\) elements, then the number of elements in its power set is \(2^n\).
In this case there is no element. So, \(n=0\) and we have \(2^0=1\) number of elements in the power set.