Problem 31
Question
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?
Step-by-Step Solution
Verified Answer
A customer can order a drink in 40 different ways.
1Step 1: 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).
2Step 2: 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 \(2 \times 4 \times 5\).
3Step 3: 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.
Other exercises in this chapter
Problem 31
Write the first three terms in each binomial expansion, expressing the result in simplified form. $$ (x+2)^{8} $$
View solution Problem 31
find each indicated sum. $$ \sum_{i=1}^{4} 2 i^{2} $$
View solution Problem 31
Use mathematical induction to prove that each statement is true for every positive integer n. \(n+2>n\)
View solution Problem 32
Involve a deck of 52 cards. If necessary, refer to the picture of a deck of cards, Figure 11.12 on page 1130 . If you are dealt 3 cards from a shuffled deck of
View solution