SOLUTION: A catering service offers 3 appetizers, 10 main courses, and 4 desserts. A banquet chairperson is to select 2 appetizers, 5 main courses, and 3 desser

In   .  .   ways,


where   is the number of combinations of 3 appetizer taken    2 at a time,    =  = 3;



        is the number of combinations of 10 main courses taken  5 at a time,    =  = 252;



        is the number of combinations of 4 desserts taken  3 at a time, =  = 4.


In all, there are  3 * 252 * 4 = 3024 combinations.