Answer:
Subsets of the given set = 32
Proper subset of the given set = 31
Step-by-step explanation:
Given set is {18, 8, 14, 9, 6} having 5 elements.
We know number of subsets of a set having n elements are represented by
[tex]2^{n}[/tex]
where n is the number of elements in the set.
Therefore, subsets of the given set = [tex]2^{5}[/tex]
= 32
Since original set itself is a subset of its own, is not a proper subset.
Therefore, proper subset of a set = [tex]2^{n}-1[/tex]
= [tex]2^{5}-1[/tex]
= 32 - 1
= 31
