Answer:
Proper Subsets = 1023
Step-by-step explanation:
Given[tex]W= \{Hampton\ Hotels, Anytime\ Fitness, Subway, Jack\ in\ the\ Box, Supercuts, \\Jimmy\ Johns, Servpro, Denny's, Pizza\ Hut, 7-Eleven\}[/tex]
Required
Determine the proper subsets
Proper Subset (P) is calculated using;
[tex]P = 2^n - 1[/tex]
Where
[tex]n = number\ of\ elements[/tex]
In this case;
[tex]n = 10[/tex]
So:
[tex]P = 2^n - 1[/tex]
[tex]P = 2^{10} - 1[/tex]
[tex]P = 1024 - 1[/tex]
[tex]P = 1023[/tex]
Hence;
Proper Subsets = 1023
