8. Suppose a restaurant menu has 8 different appetizers, 6 different entrees, and 6 different dessert options. A meal consists of two appetizers, two entrees, and three desserts. Calculate the total number of meals possible if: (a) if we are allowed to repeat any of the items on the list, and if the order in which the appetizers and entrees are consumed matter, and the order in which the desserts are consumed does not matter. (b) if we are not allowed to repeat any of the items on the list, if the order which we consume the appetizers, the entrees, and the desserts does not matter.
8. Suppose a restaurant menu has 8 different appetizers, 6 different entrees, and 6 different dessert options. A meal consists of two appetizers, two entrees, and three desserts. Calculate the total number of meals possible if: (a) if we are allowed to repeat any of the items on the list, and if the order in which the appetizers and entrees are consumed matter, and the order in which the desserts are consumed does not matter. (b) if we are not allowed to repeat any of the items on the list, if the order which we consume the appetizers, the entrees, and the desserts does not matter.
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Transcribed Image Text:8. Suppose a restaurant menu has 8 different appetizers, 6 different entrees, and 6 different dessert
options. A meal consists of two appetizers, two entrees, and three desserts. Calculate the total
number of meals possible if:
(a) if we are allowed to repeat any of the items on the list, and if the order in which the appetizers
and entrees are consumed matter, and the order in which the desserts are consumed does
not matter.
(b) if we are not allowed to repeat any of the items on the list, if the order which we consume
the appetizers, the entrees, and the desserts does not matter.
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