# Worksheet: Counting With Repetition Where Order Does Not Matter

In this worksheet, we will learn how to use combinations to count with repetition where order does not matter.

**Q4: **

How many nonnegative integer solutions are there to the equation ?

**Q5: **

Amelia is buying an ice cream cone and is able to pick two scoops from four flavors: chocolate, banana, strawberry, and vanilla. How many different ways can she pick two scoops from the four flavors?

**Q6: **

How many possible diagonals can be drawn in a regular -gon?

- A
- B
- C
- D
- E

**Q7: **

How many integer solutions are there for the equation , given that , , and ?