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Chapter 11: Problem 7

An ice cream store sells two drinks (sodas or milk shakes), in four sizes (small, medium, large, or jumbo), and five flavors (vanilla, strawberry, chocolate, coffee, or pistachio). In how many ways can a customer order a drink?

Short Answer

Expert verified
There are 40 different ways for a customer to order a drink from this ice cream store.

Step by step solution

01

Identify the independent choices

The first step is to recognize the independent choices made when ordering a drink at this store. These are: choice of drink, of size, and of flavor.
02

Count the number of ways each choice can be made

Next, enumerate the ways each choice can be made. There are 2 types of drinks (sodas or milk shakes), 4 sizes (small, medium, large, or jumbo), and 5 flavors (vanilla, strawberry, chocolate, coffee, or pistachio).
03

Apply the product rule

The product rule states that for two independent choices, the total number of ways is the product of the number of ways each choice can be made. Therefore, multiplying the number of ways each choice can be made gives the total number of ways to order a drink, which are \(2 \times 4 \times 5 = 40\).

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