Question 7: Write down the power set of each of the following sets:
\((iv)\) \(\;\) \(\{a,\{b,c\}\}\)
Solution:
\(\{\)\(\phi,\)\(\{a\},\)\(\{\{b,c\}\},\)\(\{a,\{b,c\}\}\)\(\}\)
Explanation:
A power set is the set of all possible subsets of a given set.
That includes:
- The empty set
- Each element by itself
- Any combinations of elements
- The full set itself
The set should contain \(2^2=4\) elements.