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Chapter 11: Problem 31

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
A customer can order a drink in 40 different ways.

Step by step solution

01

Identify the number of choices

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).
02

Determine the total number of combinations for each category

Since each choice is independent of the others, we can calculate the total number of combinations by multiplying the number of choices together. This gives \(2 \times 4 \times 5\).
03

Compute the total number of combinations

By multiplying the number of choices for each category together, we get a total of \(2 \times 4 \times 5 = 40\) combinations.

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