SOLUTION: A catering service offers 8 appetizers, 11 main courses, and 6 desserts. A banquet chairperson is to select 5 appetizers, 5 main courses, and 4 desserts for a banquet. In how many

Algebra ->  Permutations -> SOLUTION: A catering service offers 8 appetizers, 11 main courses, and 6 desserts. A banquet chairperson is to select 5 appetizers, 5 main courses, and 4 desserts for a banquet. In how many       Log On


   

Question 1090640: A catering service offers 8 appetizers, 11 main courses, and 6 desserts. A banquet chairperson is to select 5 appetizers, 5 main courses, and 4 desserts for a banquet. In how many ways can this be done?
(If necessary, consult a list of formulas.)






Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
8C5 x 11C5 x 6C4
= 8!/5!(8-5)! x 11!/5!(11-5)! x 6!/4!(6-4)!
= 56 x 462 x 15
= 388,080