At a restaurant, Frank has a choice of 2 appetizers, 3 mains and 2 desserts. a) Create a Tree Diagram showing the number of combinations of appetizers, mains and desserts, assuming that Frank chooses one of each (Note: using A1, A2, M1, M2, M3, and D1, D2 is sufficient for short forms). b) In how many ways can Frank choose his lunch if he has one of each appetizer, main, and dessert?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 2CT: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert, and a drink....
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1. draw the Tree Diagram

2. Read the Tree Diagram and determining the number of different possible lunches

At a restaurant, Frank has a choice of 2 appetizers, 3 mains and 2 desserts.
a) Create a Tree Diagram showing the number of combinations of appetizers, mains and desserts, assuming that Frank chooses
one of each (Note: using A1, A2, M1, M2, M3, and D1, D2 is sufficient for short forms).
b) In how many ways can Frank choose his lunch if he has one of each appetizer, main, and dessert?
Transcribed Image Text:At a restaurant, Frank has a choice of 2 appetizers, 3 mains and 2 desserts. a) Create a Tree Diagram showing the number of combinations of appetizers, mains and desserts, assuming that Frank chooses one of each (Note: using A1, A2, M1, M2, M3, and D1, D2 is sufficient for short forms). b) In how many ways can Frank choose his lunch if he has one of each appetizer, main, and dessert?
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