Question 7
Let $S=\{1,2,3,\ldots,9,10\}$. A non-empty subset of $S$ is considered “Good” if the number of even integers in the subset is more than or equal to the number of odd integers in the same subset. For example, the subsets $\{4,8\}$, $\{3,4,7,8\}$ and $\{1,3,6,8,10\}$ are “Good”. How many subsets of $S$ are “Good”?