A sporting goods store has fourteen lines of snow skis, eight types of bindings, eight types of boots, and two types of poles. Assuming that all items are compatible with each other, how many different complete ski equipment packages are available?

To find the total number of different complete ski equipment packages available, we multiply the number of choices for each type of equipment. Here’s how it breaks down:

- **Lines of snow skis**: 14
- **Types of bindings**: 8
- **Types of boots**: 8
- **Types of poles**: 2

The total number of combinations is the product of these numbers:
\[
14 \times 8 \times 8 \times 2
\]

Now, let's calculate it step-by-step:
\[
14 \times 8 = 112
\]

\[
112 \times 8 = 896
\]

\[
896 \times 2 = 1792
\]

So, the total number of different complete ski equipment packages available is **1,792**.

Would you like more details on this calculation or have any questions?

Here are 5 related questions for further exploration:
1. What if the store adds another type of pole? How does this affect the total number of packages?
2. How many combinations are there if a customer chooses to buy only skis and bindings?
3. What if the store removes one line of snow skis? What will be the new total?
4. How does the total number change if only 6 types of boots are available?
5. If the store wanted to create promotional packages that include only one type of each item, how many such packages can they create?

**Tip:** When dealing with problems involving combinations, multiplying the number of options for each independent choice gives the total number of possible combinations.

Discover how to calculate the total number of complete ski equipment packages in a sporting goods store offering 14 lines of skis, 8 types of bindings, 8 types of boots, and 2 types of poles. Learn about combinatorics and the multiplication of choices in this step-by-step solution for students in Grades 5-8.

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