Question

The total number of subsets of the set {1, 3, 5, 7} is

Answer 1

Step 1: Determine the subset from the given set

1. Let, A has a size of n.
2. Consider, taking each element and not-taking each element to form a subset.
3. So, for every element, you have 2 choices. (i.e. take or not-take)
4. Therefore, you will end up having ${\mathbf{2}}^{\mathbf{n}}$ subsets.
5. For this case:$\mathbf{n}\mathbf{=}\mathbf{}\mathbf{4}$, the Total subsets will be:${\mathbf{2}}^{\mathbf{4}}\mathbf{=}\mathbf{16}$.

The total number of subsets of the set $$\left\{1,3,5,7\right\}$$ is =16