Task 2: Counting Techniques The New El Camino Cafeteria provides the following c

Question

Task 2: Counting Techniques The New El Camino Cafeteria provides the following choices Appetizer Entrée Dessert: Soup or salad Baby beef liver, Chicken gizzards, or Buffalo tripe Ice cream or cheese cake a) How many different meals can be ordered? List each possible order below in some organized manner b) Considering that for each choice of appetizer there are 3 choices of entrée, and that, for each of these choices there are 2 choices for dessert, can we use these numbers to determine the number of possible meals without having to list each order and count??? Explain. Task 3: Multiplication Rule of Counting Example 1: How many ways can two people from your group be win a first and second place in a math competition? (Hint: Is order important in the arrangement of two individuals?) List each arrangement:

Explanation / Answer

Question 1.

a)

b)

One appetizer can be selected in 2C1 ways

One Entree can be selected in 3C1 ways

One Dessert can be selected in 2C1 ways

Hence total possible number of combinations are 2C1*3C1*2C1 = 2*3*2 = 12

Sr. No. Appetizer Entrée Dessert 1 Soup Baby beef liver Ice Creame 2 Salad Baby beef liver Ice Creame 3 Soup Baby beef liver cheese cake 4 Salad Baby beef liver cheese cake 5 Soup Chicken gizzards Ice Creame 6 Salad Chicken gizzards Ice Creame 7 Soup Chicken gizzards cheese cake 8 Salad Chicken gizzards cheese cake 9 Soup Buffalo tripe Ice Creame 10 Salad Buffalo tripe Ice Creame 11 Soup Buffalo tripe cheese cake 12 Salad Buffalo tripe cheese cake

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