Final answer:
To buy 200 stamps, there are 9 different ways using the available booklets of 100, 50, and 10 stamps.
Step-by-step explanation:
To find as many different ways to buy 200 stamps, we can use a combination of the available booklets. Let's start by looking at the booklets of 100 stamps:
- We can buy 2 booklets of 100 stamps each.
- We can buy 1 booklet of 100 stamps and 2 booklets of 50 stamps.
Now let's consider the booklets of 50 stamps:
- We can buy 4 booklets of 50 stamps.
- We can buy 3 booklets of 50 stamps and 1 booklet of 10 stamps.
- We can buy 2 booklets of 50 stamps and 2 booklets of 10 stamps.
- We can buy 1 booklet of 50 stamps and 4 booklets of 10 stamps.
Finally, let's look at the booklets of 10 stamps:
- We can buy 20 booklets of 10 stamps.
So, there are a total of 9 different ways to buy 200 stamps.