SOLUTION: A catering service offers 10 appetizers, 4 main courses, and 7 desserts. A customer is to select 8 appetizers, 3 main courses, and 5 desserts for a banquet. In how many ways can th

Algebra ->  Permutations -> SOLUTION: A catering service offers 10 appetizers, 4 main courses, and 7 desserts. A customer is to select 8 appetizers, 3 main courses, and 5 desserts for a banquet. In how many ways can th      Log On


   



Question 1152491: A catering service offers 10 appetizers, 4 main courses, and 7 desserts. A customer is to select 8 appetizers, 3 main courses, and 5 desserts for a banquet. In how many ways can this be done?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


(10 choose 8) times (4 choose 3) times (7 choose 5).

If you are doing the calculations with pencil and paper, note that an easier equivalent calculation is

(10 choose 2) times (4 choose 1) times (7 choose 2).