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
![2^{n}](https://tex.z-dn.net/?f=2%5E%7Bn%7D)
where n is the number of elements in the set.
Therefore, subsets of the given set = ![2^{5}](https://tex.z-dn.net/?f=2%5E%7B5%7D)
= 32
Since original set itself is a subset of its own, is not a proper subset.
Therefore, proper subset of a set = ![2^{n}-1](https://tex.z-dn.net/?f=2%5E%7Bn%7D-1)
= ![2^{5}-1](https://tex.z-dn.net/?f=2%5E%7B5%7D-1)
= 32 - 1
= 31