Question 6: What is the number of elements of the power set of each of the following sets?
\((iv)\) \(\;\) \(\{0,1,2,3,4,5,6,7\}\)
Solution:
\(n=8\)
\(2^8=256\)
There are \(256\) 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 are 8 element. So, \(n=8\) and we have \(2^8=256\) number of elements in the power set.