A catering service offers 4 appetizers, 12 main courses, and 9 desserts. A customer is to select 3 a

A catering service offers 4 appetizers, 12 main courses, and 9 desserts. A customer is to select 3 appetizers, 10 main courses, and 5 desserts for a banquet. In how many ways can this be done?

We use combinations, so we have:

• 4C3 appetizers = 4
• 12C10 main courses = 66
• 9C5 desserts = 126

We multiply each of these together to get our total combinations:
4 * 66 * 126 = 33,264