## How Many Subsets?

Consider the set S

1) How many **total subsets** does *S* have? A **subset** of *S* is a set *A* whose elements are all elements of *S*.

2) How many subsets of *S* contain the element **4**?

3) How many subsets of *S* are of size 4?

4) How many subsets of *S* contain **only odd numbers**?

As usual, try to come up with a few different ways to approach these problems. What are some other interesting questions we could ask?

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