SOLUTION: A catering service offers 11 appetizers, 4 main courses, and 9 desserts. A banquet chairperson is to select 5 appetizers, 3 main courses, and 3 desserts for a banquet. In how many
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Question 1098001: A catering service offers 11 appetizers, 4 main courses, and 9 desserts. A banquet chairperson is to select 5 appetizers, 3 main courses, and 3 desserts for a banquet. In how many ways can this be done?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
There are ordered lists of appetizers that can be written, but each set of appetizers would be repeated in different order in lists.
So, there are different sets of appetizers that can be selected, from the appetizers available.
There are different sets of main courses that can be selected from the main courses available. (It is just a question of deciding which of the 4 main courses to exclude).
There are different sets of desserts that can be selected from the desserts available.
Combining the possible choices for appetizer, main course, and dessets selections, the number of posssible banquet menus is
.
Simplifying, you get
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