SOLUTION: A catering service offers 8 appetizers, 9 main courses, and 7 desserts. A banquet committee is to select 3 appetizers, 5 main courses, and 3 desserts. How many ways can
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-> SOLUTION: A catering service offers 8 appetizers, 9 main courses, and 7 desserts. A banquet committee is to select 3 appetizers, 5 main courses, and 3 desserts. How many ways can
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Question 1195580: A catering service offers 8 appetizers, 9 main courses, and 7 desserts. A banquet committee is to select 3 appetizers, 5 main courses, and 3 desserts. How many ways can this be done? Answer by ikleyn(52778) (Show Source):
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A catering service offers 8 appetizers, 9 main courses, and 7 desserts.
A banquet committee is to select 3 appetizers, 5 main courses, and 3 desserts.
How many ways can this be done?
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There are = 56 different ways to select 3 appetizers from 8 appetizers.
There are = 126 different ways to select 5 main courses from 9 main courses.
There are = 35 different ways to select desserts main courses from 7 desserts.
In all, there are 56*126*35 = 246960 different ways to select the entire meal of 3 components. ANSWER
Solved.
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This problem uses COMBINATIONS and Fundamental counting principle.
