Math  /  Discrete

Question6.1 Practice
1. At the local Burger Thing restaurant you can design your own meal by choosing between five different burgers, three different drinks, and two different size fries. If one item must be selected from each category, how many different meals could you order?

Studdy Solution

STEP 1

1. A meal consists of one burger, one drink, and one size of fries.
2. The choices are independent of each other.

STEP 2

1. Identify the number of choices for each category.
2. Use the multiplication principle to find the total number of different meals.

STEP 3

Identify the number of choices for each category: - Number of burger choices: 5 - Number of drink choices: 3 - Number of fry size choices: 2

STEP 4

Apply the multiplication principle, which states that if there are n n ways to do one thing and m m ways to do another, then there are n×m n \times m ways to do both.

STEP 5

Calculate the total number of different meals by multiplying the number of choices in each category:
Total meals=(Number of burgers)×(Number of drinks)×(Number of fry sizes) \text{Total meals} = (\text{Number of burgers}) \times (\text{Number of drinks}) \times (\text{Number of fry sizes})
Total meals=5×3×2 \text{Total meals} = 5 \times 3 \times 2

STEP 6

Perform the multiplication:
5×3=15 5 \times 3 = 15 15×2=30 15 \times 2 = 30
The total number of different meals you could order is:
30 \boxed{30}

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