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Choice Salad Entree 11 Side dish Dessert Possible items Caesar, Garden Grilled chicken, Pot roast, Roast turkey, Salmon, Lamb Rice, French fries, Baked potato, Pinto beans Chocolate cake, Cheesecake, Apple pie, Brownies How many dinner specials are possible? X

Choice Salad Entree 11 Side dish Dessert Possible items Caesar, Garden Grilled chicken, Pot roast, Roast turkey, Salmon, Lamb Rice, French fries, Baked potato, Pinto beans Chocolate cake, Cheesecake, Apple pie, Brownies How many dinner specials are possible? X

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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For the dinner special at a restaurant, the customer must choose a salad, an entree, a side dish, and a dessert. Here are the items to choose from: **Choice | Possible Items** - **Salad:** Caesar, Garden - **Entree:** Grilled chicken, Pot roast, Roast turkey, Salmon, Lamb - **Side dish:** Rice, French fries, Baked potato, Pinto beans - **Dessert:** Chocolate cake, Cheesecake, Apple pie, Brownies **Question:** How many dinner specials are possible? **Explanation:** To determine the number of possible dinner specials, multiply the number of choices for each category: - **Salads:** 2 choices - **Entrees:** 5 choices - **Side dishes:** 4 choices - **Desserts:** 4 choices The total number of possible combinations is calculated as follows: \[ 2 \times 5 \times 4 \times 4 = 160 \] Thus, there are 160 possible dinner specials.
Transcribed Image Text:For the dinner special at a restaurant, the customer must choose a salad, an entree, a side dish, and a dessert. Here are the items to choose from: **Choice | Possible Items** - **Salad:** Caesar, Garden - **Entree:** Grilled chicken, Pot roast, Roast turkey, Salmon, Lamb - **Side dish:** Rice, French fries, Baked potato, Pinto beans - **Dessert:** Chocolate cake, Cheesecake, Apple pie, Brownies **Question:** How many dinner specials are possible? **Explanation:** To determine the number of possible dinner specials, multiply the number of choices for each category: - **Salads:** 2 choices - **Entrees:** 5 choices - **Side dishes:** 4 choices - **Desserts:** 4 choices The total number of possible combinations is calculated as follows: \[ 2 \times 5 \times 4 \times 4 = 160 \] Thus, there are 160 possible dinner specials.
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