Answer:
6480
Explanation:
I assume you mean this:
"Rayna and her husband have eight nieces, 9 nephews, six cousins, three aunts, and five uncles. Explain how you could use the fundamental counting principle to find how many ways Rayna could choose a team to play charades if she wants one of each type of relative on the team."
The fundamental counting principle states that if there are "a" items of type 1, "b" items of type 2, "c" items of type 3, etc., the number of different ways you can choose one item from each group is a × b × c × ...
Here we have
8 nieces
9 nephews
6 cousins
3 aunts
5 uncles,
so the number of unique combinations there can be is
8 × 9 × 6 × 3 × 5 = 6480