Answer
As given below
Work Step by Step
We are given $\{1,3, 5, 7\} $
Start with the empty set: $\emptyset$.
List the subsets with one element: $\{1\}$; $\{3\}$; $\{5\}$; $\{7\}$
List the subsets with two elements: $\{1,3\}$; $\{1,5\}$; $\{1,7\}$ ; $\{3,5\}$; $\{3,7\}$; $\{5,7\}$
List the subsets with three elements: $\{1,3,5\}$; $\{1,5,7\}$; $\{1,3,7\}$ ; $\{3,5,7\}$
List the subsets with four elements: $\{1,3, 5, 7\} $