Pregunta
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Introduction to the counting principle Ravi is ordering an ice cream dessert. He must order a size and a flavor of ice cream. There are 3 sizes and choose from. How many different ice cream desserts could he order?

Ask by Medina Floyd. in the United States
Mar 11,2025

Solución de inteligencia artificial de Upstudy

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Ravi can order a total of \( 3 \times f \) different ice cream desserts, where \( f \) is the number of available flavors.

Solución

To solve the problem using the counting principle, we need to identify the known conditions: 1. **Sizes of ice cream**: There are 3 different sizes available. 2. **Flavors of ice cream**: The problem does not specify the number of flavors, so we will denote the number of flavors as \( f \). According to the counting principle, if there are \( n \) ways to do one thing and \( m \) ways to do another, then there are \( n \times m \) ways to do both. In this case, Ravi can choose a size and a flavor. Therefore, the total number of different ice cream desserts he could order is given by the formula: \[ \text{Total Desserts} = \text{Number of Sizes} \times \text{Number of Flavors} \] Substituting the known values: \[ \text{Total Desserts} = 3 \times f \] Since the number of flavors \( f \) is not provided, we cannot calculate a specific numerical answer. However, if you provide the number of flavors, I can calculate the total number of different ice cream desserts Ravi could order.

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The Deep Dive

Ravi can make his ice cream dessert by combining different sizes with various flavors. If there are 3 sizes and 5 flavors, he can simply use the counting principle, which states that if one event can occur in "m" ways and another event can occur in "n" ways, then the total number of combinations is m × n. So in Ravi's case, he could order 3 sizes multiplied by 5 flavors, resulting in 15 different possible ice cream desserts! Now, imagine Ravi encounters a delicious seasonal flavor like pumpkin spice; always be on the lookout for special options! This can increase his possibilities and make each choice more exciting. A little creativity in the flavoring and toppings can turn an ordinary ice cream order into a unique dessert experience!

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