Given:
N={9,41,64,12,38,59,23}
To find the number of distinct proper subsets, use the formula below:
[tex]2^{n\text{ }}-\text{ 1}[/tex]Where n is the number of values in the set.
Here, n = 7
The number of distinct proper subsets are:
[tex]\begin{gathered} 2^7\text{ - 1 } \\ =\text{ (2}\ast2\ast2\ast2\ast2\ast2\ast2)-1 \\ =\text{ 128 - 1} \\ =\text{ 127} \end{gathered}[/tex]Therefore, there are 127 distinct proper subsets