Respuesta :
The number of proper subset of a set N is given as;
[tex]\begin{gathered} P(N)=2^n \\ \text{Where n is the cardinality of the set} \end{gathered}[/tex]The cardinality of a set is the number of elements in a set.
Then, given the set;
[tex]N=\mleft\lbrace8,\text{ 50, 69, 17, 33, 55, 28}\mright\rbrace[/tex]The cardinality n, is7 because there are seven elements in the set.
Then, the number of proper subsets is;
[tex]\begin{gathered} P(N)=2^7 \\ P(N)=128 \end{gathered}[/tex]Thus, the set N has 128 distinct proper subsets.
