A catering service offers 5 appetizers, 10 main courses, and 9 desserts. A customer is to select 2 appetizers, 2 main courses, and 8 desserts for a banquet. In how many ways can this be done?
We have to choose 2 appetizers from 5 appetizers
2 main courses from 10 main courses and
8 desserts from 9 desserts
hence
Number of ways = 5C2 * 10C2 * 9C8
= 10 * 45 * 9
= 4050
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