we need to find the number of combinations for the yard sign.
we have the following information:
-There are 3 sizes. (3 options for size)
-There are wood and metal post. (2 options for post)
We can represent the number of combinations we can make in the following diagram:
We call the sizes by 1, 2, and 3. And each size can go with either wood or metal post.
Counting the number of combinations in the diagram we can see tha there are 6:
Size 1 and metal post
Size 1 and wood post
Size 2 and metal post
Size 2 and wood post
Size 3 and metal post
Size 3 and wood post.
--> 6 combinations.
This result can also be obtained by multiplying the number of options we have for the size (3) by the number of options we have for the post(2):
