A catering service offers 7 appetizers 10 main courses and 7

A catering service offers 7 appetizers, 10 main courses, and 7 desserts. A banquet committee is to select 5 appetizers, 9 main courses, and 6 desserts. How many ways can this be done? There are possible ways this can be done.

Solution

Selecting 5 appetizers=7C5

selecting 9 main course=10C9

selecting 6 desserts=7C6

Required selection=7C5*10C9*7C6=21*10*7=1470